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Simplifying -5(2x + -2) = 3(1 + -3x) Reorder the terms: -5(-2 + 2x) = 3(1 + -3x) (-2 * -5 + 2x * -5) = 3(1 + -3x) (10 + -10x) = 3(1 + -3x) 10 + -10x = (1 * 3 + -3x * 3) 10 + -10x = (3 + -9x) Solving 10 + -10x = 3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 10 + -10x + 9x = 3 + -9x + 9x Combine like terms: -10x + 9x = -1x 10 + -1x = 3 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + -1x = 3 + 0 10 + -1x = 3 Add '-10' to each side of the equation. 10 + -10 + -1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 3 + -10 -1x = 3 + -10 Combine like terms: 3 + -10 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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