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