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