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Simplifying 5(2 + 2x) = 9(x + -4) (2 * 5 + 2x * 5) = 9(x + -4) (10 + 10x) = 9(x + -4) Reorder the terms: 10 + 10x = 9(-4 + x) 10 + 10x = (-4 * 9 + x * 9) 10 + 10x = (-36 + 9x) Solving 10 + 10x = -36 + 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 = -36 + 9x + -9x Combine like terms: 10x + -9x = 1x 10 + 1x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 1x = -36 + 0 10 + 1x = -36 Add '-10' to each side of the equation. 10 + -10 + 1x = -36 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -36 + -10 1x = -36 + -10 Combine like terms: -36 + -10 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46
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