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Simplifying 5(x + -1) = 3(5x + -3) Reorder the terms: 5(-1 + x) = 3(5x + -3) (-1 * 5 + x * 5) = 3(5x + -3) (-5 + 5x) = 3(5x + -3) Reorder the terms: -5 + 5x = 3(-3 + 5x) -5 + 5x = (-3 * 3 + 5x * 3) -5 + 5x = (-9 + 15x) Solving -5 + 5x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 5x + -15x = -9 + 15x + -15x Combine like terms: 5x + -15x = -10x -5 + -10x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -10x = -9 + 0 -5 + -10x = -9 Add '5' to each side of the equation. -5 + 5 + -10x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = -9 + 5 -10x = -9 + 5 Combine like terms: -9 + 5 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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