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Simplifying 2(5 + 5x) = 9(x + -3) (5 * 2 + 5x * 2) = 9(x + -3) (10 + 10x) = 9(x + -3) Reorder the terms: 10 + 10x = 9(-3 + x) 10 + 10x = (-3 * 9 + x * 9) 10 + 10x = (-27 + 9x) Solving 10 + 10x = -27 + 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 = -27 + 9x + -9x Combine like terms: 10x + -9x = 1x 10 + 1x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 1x = -27 + 0 10 + 1x = -27 Add '-10' to each side of the equation. 10 + -10 + 1x = -27 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -27 + -10 1x = -27 + -10 Combine like terms: -27 + -10 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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