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Simplifying 5(2x + -2) + -3(x + -4) = 9(x + 2) Reorder the terms: 5(-2 + 2x) + -3(x + -4) = 9(x + 2) (-2 * 5 + 2x * 5) + -3(x + -4) = 9(x + 2) (-10 + 10x) + -3(x + -4) = 9(x + 2) Reorder the terms: -10 + 10x + -3(-4 + x) = 9(x + 2) -10 + 10x + (-4 * -3 + x * -3) = 9(x + 2) -10 + 10x + (12 + -3x) = 9(x + 2) Reorder the terms: -10 + 12 + 10x + -3x = 9(x + 2) Combine like terms: -10 + 12 = 2 2 + 10x + -3x = 9(x + 2) Combine like terms: 10x + -3x = 7x 2 + 7x = 9(x + 2) Reorder the terms: 2 + 7x = 9(2 + x) 2 + 7x = (2 * 9 + x * 9) 2 + 7x = (18 + 9x) Solving 2 + 7x = 18 + 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. 2 + 7x + -9x = 18 + 9x + -9x Combine like terms: 7x + -9x = -2x 2 + -2x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -2x = 18 + 0 2 + -2x = 18 Add '-2' to each side of the equation. 2 + -2 + -2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 18 + -2 -2x = 18 + -2 Combine like terms: 18 + -2 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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