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Simplifying 5(-2x + 6) = -3(-1x + 3) Reorder the terms: 5(6 + -2x) = -3(-1x + 3) (6 * 5 + -2x * 5) = -3(-1x + 3) (30 + -10x) = -3(-1x + 3) Reorder the terms: 30 + -10x = -3(3 + -1x) 30 + -10x = (3 * -3 + -1x * -3) 30 + -10x = (-9 + 3x) Solving 30 + -10x = -9 + 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. 30 + -10x + -3x = -9 + 3x + -3x Combine like terms: -10x + -3x = -13x 30 + -13x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -13x = -9 + 0 30 + -13x = -9 Add '-30' to each side of the equation. 30 + -30 + -13x = -9 + -30 Combine like terms: 30 + -30 = 0 0 + -13x = -9 + -30 -13x = -9 + -30 Combine like terms: -9 + -30 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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