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Simplifying 5(x + -6) = 3(2x + -2) Reorder the terms: 5(-6 + x) = 3(2x + -2) (-6 * 5 + x * 5) = 3(2x + -2) (-30 + 5x) = 3(2x + -2) Reorder the terms: -30 + 5x = 3(-2 + 2x) -30 + 5x = (-2 * 3 + 2x * 3) -30 + 5x = (-6 + 6x) Solving -30 + 5x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x -30 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + -1x = -6 + 0 -30 + -1x = -6 Add '30' to each side of the equation. -30 + 30 + -1x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -6 + 30 -1x = -6 + 30 Combine like terms: -6 + 30 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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