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Simplifying -5(2x + -2) + 3(x + 1) = 2(x + 2) Reorder the terms: -5(-2 + 2x) + 3(x + 1) = 2(x + 2) (-2 * -5 + 2x * -5) + 3(x + 1) = 2(x + 2) (10 + -10x) + 3(x + 1) = 2(x + 2) Reorder the terms: 10 + -10x + 3(1 + x) = 2(x + 2) 10 + -10x + (1 * 3 + x * 3) = 2(x + 2) 10 + -10x + (3 + 3x) = 2(x + 2) Reorder the terms: 10 + 3 + -10x + 3x = 2(x + 2) Combine like terms: 10 + 3 = 13 13 + -10x + 3x = 2(x + 2) Combine like terms: -10x + 3x = -7x 13 + -7x = 2(x + 2) Reorder the terms: 13 + -7x = 2(2 + x) 13 + -7x = (2 * 2 + x * 2) 13 + -7x = (4 + 2x) Solving 13 + -7x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + -7x + -2x = 4 + 2x + -2x Combine like terms: -7x + -2x = -9x 13 + -9x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -9x = 4 + 0 13 + -9x = 4 Add '-13' to each side of the equation. 13 + -13 + -9x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 4 + -13 -9x = 4 + -13 Combine like terms: 4 + -13 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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