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Simplifying -4(x + -8) + 2(x + 2) = x + 9 Reorder the terms: -4(-8 + x) + 2(x + 2) = x + 9 (-8 * -4 + x * -4) + 2(x + 2) = x + 9 (32 + -4x) + 2(x + 2) = x + 9 Reorder the terms: 32 + -4x + 2(2 + x) = x + 9 32 + -4x + (2 * 2 + x * 2) = x + 9 32 + -4x + (4 + 2x) = x + 9 Reorder the terms: 32 + 4 + -4x + 2x = x + 9 Combine like terms: 32 + 4 = 36 36 + -4x + 2x = x + 9 Combine like terms: -4x + 2x = -2x 36 + -2x = x + 9 Reorder the terms: 36 + -2x = 9 + x Solving 36 + -2x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 36 + -2x + -1x = 9 + x + -1x Combine like terms: -2x + -1x = -3x 36 + -3x = 9 + x + -1x Combine like terms: x + -1x = 0 36 + -3x = 9 + 0 36 + -3x = 9 Add '-36' to each side of the equation. 36 + -36 + -3x = 9 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 9 + -36 -3x = 9 + -36 Combine like terms: 9 + -36 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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