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Simplifying 6 + -2x = 2(x + 12) + -1x Reorder the terms: 6 + -2x = 2(12 + x) + -1x 6 + -2x = (12 * 2 + x * 2) + -1x 6 + -2x = (24 + 2x) + -1x Combine like terms: 2x + -1x = 1x 6 + -2x = 24 + 1x Solving 6 + -2x = 24 + 1x 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. 6 + -2x + -1x = 24 + 1x + -1x Combine like terms: -2x + -1x = -3x 6 + -3x = 24 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -3x = 24 + 0 6 + -3x = 24 Add '-6' to each side of the equation. 6 + -6 + -3x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 24 + -6 -3x = 24 + -6 Combine like terms: 24 + -6 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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