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Simplifying 3(x + -5) + -1(2x + 4) = 8 + -2(3x + 5) Reorder the terms: 3(-5 + x) + -1(2x + 4) = 8 + -2(3x + 5) (-5 * 3 + x * 3) + -1(2x + 4) = 8 + -2(3x + 5) (-15 + 3x) + -1(2x + 4) = 8 + -2(3x + 5) Reorder the terms: -15 + 3x + -1(4 + 2x) = 8 + -2(3x + 5) -15 + 3x + (4 * -1 + 2x * -1) = 8 + -2(3x + 5) -15 + 3x + (-4 + -2x) = 8 + -2(3x + 5) Reorder the terms: -15 + -4 + 3x + -2x = 8 + -2(3x + 5) Combine like terms: -15 + -4 = -19 -19 + 3x + -2x = 8 + -2(3x + 5) Combine like terms: 3x + -2x = 1x -19 + 1x = 8 + -2(3x + 5) Reorder the terms: -19 + 1x = 8 + -2(5 + 3x) -19 + 1x = 8 + (5 * -2 + 3x * -2) -19 + 1x = 8 + (-10 + -6x) Combine like terms: 8 + -10 = -2 -19 + 1x = -2 + -6x Solving -19 + 1x = -2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -19 + 1x + 6x = -2 + -6x + 6x Combine like terms: 1x + 6x = 7x -19 + 7x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 -19 + 7x = -2 + 0 -19 + 7x = -2 Add '19' to each side of the equation. -19 + 19 + 7x = -2 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = -2 + 19 7x = -2 + 19 Combine like terms: -2 + 19 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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