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Simplifying 30 + -16(3.5x + 8) + -3(5x + -4) + 3x = 5x + 7(3x + -14) + -1(x + 18) Reorder the terms: 30 + -16(8 + 3.5x) + -3(5x + -4) + 3x = 5x + 7(3x + -14) + -1(x + 18) 30 + (8 * -16 + 3.5x * -16) + -3(5x + -4) + 3x = 5x + 7(3x + -14) + -1(x + 18) 30 + (-128 + -56x) + -3(5x + -4) + 3x = 5x + 7(3x + -14) + -1(x + 18) Reorder the terms: 30 + -128 + -56x + -3(-4 + 5x) + 3x = 5x + 7(3x + -14) + -1(x + 18) 30 + -128 + -56x + (-4 * -3 + 5x * -3) + 3x = 5x + 7(3x + -14) + -1(x + 18) 30 + -128 + -56x + (12 + -15x) + 3x = 5x + 7(3x + -14) + -1(x + 18) Reorder the terms: 30 + -128 + 12 + -56x + -15x + 3x = 5x + 7(3x + -14) + -1(x + 18) Combine like terms: 30 + -128 = -98 -98 + 12 + -56x + -15x + 3x = 5x + 7(3x + -14) + -1(x + 18) Combine like terms: -98 + 12 = -86 -86 + -56x + -15x + 3x = 5x + 7(3x + -14) + -1(x + 18) Combine like terms: -56x + -15x = -71x -86 + -71x + 3x = 5x + 7(3x + -14) + -1(x + 18) Combine like terms: -71x + 3x = -68x -86 + -68x = 5x + 7(3x + -14) + -1(x + 18) Reorder the terms: -86 + -68x = 5x + 7(-14 + 3x) + -1(x + 18) -86 + -68x = 5x + (-14 * 7 + 3x * 7) + -1(x + 18) -86 + -68x = 5x + (-98 + 21x) + -1(x + 18) Reorder the terms: -86 + -68x = 5x + -98 + 21x + -1(18 + x) -86 + -68x = 5x + -98 + 21x + (18 * -1 + x * -1) -86 + -68x = 5x + -98 + 21x + (-18 + -1x) Reorder the terms: -86 + -68x = -98 + -18 + 5x + 21x + -1x Combine like terms: -98 + -18 = -116 -86 + -68x = -116 + 5x + 21x + -1x Combine like terms: 5x + 21x = 26x -86 + -68x = -116 + 26x + -1x Combine like terms: 26x + -1x = 25x -86 + -68x = -116 + 25x Solving -86 + -68x = -116 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -86 + -68x + -25x = -116 + 25x + -25x Combine like terms: -68x + -25x = -93x -86 + -93x = -116 + 25x + -25x Combine like terms: 25x + -25x = 0 -86 + -93x = -116 + 0 -86 + -93x = -116 Add '86' to each side of the equation. -86 + 86 + -93x = -116 + 86 Combine like terms: -86 + 86 = 0 0 + -93x = -116 + 86 -93x = -116 + 86 Combine like terms: -116 + 86 = -30 -93x = -30 Divide each side by '-93'. x = 0.3225806452 Simplifying x = 0.3225806452
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