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Simplifying 8 + -1(2x + -4) = x + 9 Reorder the terms: 8 + -1(-4 + 2x) = x + 9 8 + (-4 * -1 + 2x * -1) = x + 9 8 + (4 + -2x) = x + 9 Combine like terms: 8 + 4 = 12 12 + -2x = x + 9 Reorder the terms: 12 + -2x = 9 + x Solving 12 + -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. 12 + -2x + -1x = 9 + x + -1x Combine like terms: -2x + -1x = -3x 12 + -3x = 9 + x + -1x Combine like terms: x + -1x = 0 12 + -3x = 9 + 0 12 + -3x = 9 Add '-12' to each side of the equation. 12 + -12 + -3x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 9 + -12 -3x = 9 + -12 Combine like terms: 9 + -12 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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