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Simplifying 3(x + -5) + 2 = 1 + -1(4x + 3) Reorder the terms: 3(-5 + x) + 2 = 1 + -1(4x + 3) (-5 * 3 + x * 3) + 2 = 1 + -1(4x + 3) (-15 + 3x) + 2 = 1 + -1(4x + 3) Reorder the terms: -15 + 2 + 3x = 1 + -1(4x + 3) Combine like terms: -15 + 2 = -13 -13 + 3x = 1 + -1(4x + 3) Reorder the terms: -13 + 3x = 1 + -1(3 + 4x) -13 + 3x = 1 + (3 * -1 + 4x * -1) -13 + 3x = 1 + (-3 + -4x) Combine like terms: 1 + -3 = -2 -13 + 3x = -2 + -4x Solving -13 + 3x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -13 + 3x + 4x = -2 + -4x + 4x Combine like terms: 3x + 4x = 7x -13 + 7x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 7x = -2 + 0 -13 + 7x = -2 Add '13' to each side of the equation. -13 + 13 + 7x = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = -2 + 13 7x = -2 + 13 Combine like terms: -2 + 13 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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