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Simplifying 3x + -1(4x + -8) = 9x + -12 Reorder the terms: 3x + -1(-8 + 4x) = 9x + -12 3x + (-8 * -1 + 4x * -1) = 9x + -12 3x + (8 + -4x) = 9x + -12 Reorder the terms: 8 + 3x + -4x = 9x + -12 Combine like terms: 3x + -4x = -1x 8 + -1x = 9x + -12 Reorder the terms: 8 + -1x = -12 + 9x Solving 8 + -1x = -12 + 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. 8 + -1x + -9x = -12 + 9x + -9x Combine like terms: -1x + -9x = -10x 8 + -10x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -10x = -12 + 0 8 + -10x = -12 Add '-8' to each side of the equation. 8 + -8 + -10x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -12 + -8 -10x = -12 + -8 Combine like terms: -12 + -8 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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