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Simplifying 3(x + -1) = 9 + -2(2x + -8) Reorder the terms: 3(-1 + x) = 9 + -2(2x + -8) (-1 * 3 + x * 3) = 9 + -2(2x + -8) (-3 + 3x) = 9 + -2(2x + -8) Reorder the terms: -3 + 3x = 9 + -2(-8 + 2x) -3 + 3x = 9 + (-8 * -2 + 2x * -2) -3 + 3x = 9 + (16 + -4x) Combine like terms: 9 + 16 = 25 -3 + 3x = 25 + -4x Solving -3 + 3x = 25 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 3x + 4x = 25 + -4x + 4x Combine like terms: 3x + 4x = 7x -3 + 7x = 25 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 7x = 25 + 0 -3 + 7x = 25 Add '3' to each side of the equation. -3 + 3 + 7x = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 25 + 3 7x = 25 + 3 Combine like terms: 25 + 3 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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