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Simplifying 2(6 + -1x) + x = 3(x + -8) + 4 (6 * 2 + -1x * 2) + x = 3(x + -8) + 4 (12 + -2x) + x = 3(x + -8) + 4 Combine like terms: -2x + x = -1x 12 + -1x = 3(x + -8) + 4 Reorder the terms: 12 + -1x = 3(-8 + x) + 4 12 + -1x = (-8 * 3 + x * 3) + 4 12 + -1x = (-24 + 3x) + 4 Reorder the terms: 12 + -1x = -24 + 4 + 3x Combine like terms: -24 + 4 = -20 12 + -1x = -20 + 3x Solving 12 + -1x = -20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -1x + -3x = -20 + 3x + -3x Combine like terms: -1x + -3x = -4x 12 + -4x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -4x = -20 + 0 12 + -4x = -20 Add '-12' to each side of the equation. 12 + -12 + -4x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -20 + -12 -4x = -20 + -12 Combine like terms: -20 + -12 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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