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Simplifying 3(x + -5) + 2 = 4(x + -1) Reorder the terms: 3(-5 + x) + 2 = 4(x + -1) (-5 * 3 + x * 3) + 2 = 4(x + -1) (-15 + 3x) + 2 = 4(x + -1) Reorder the terms: -15 + 2 + 3x = 4(x + -1) Combine like terms: -15 + 2 = -13 -13 + 3x = 4(x + -1) Reorder the terms: -13 + 3x = 4(-1 + x) -13 + 3x = (-1 * 4 + x * 4) -13 + 3x = (-4 + 4x) Solving -13 + 3x = -4 + 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 = -4 + 4x + -4x Combine like terms: 3x + -4x = -1x -13 + -1x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -1x = -4 + 0 -13 + -1x = -4 Add '13' to each side of the equation. -13 + 13 + -1x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -4 + 13 -1x = -4 + 13 Combine like terms: -4 + 13 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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