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