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Simplifying 1(12 + x) = 18(6 + -1x) (12 * 1 + x * 1) = 18(6 + -1x) (12 + 1x) = 18(6 + -1x) 12 + 1x = (6 * 18 + -1x * 18) 12 + 1x = (108 + -18x) Solving 12 + 1x = 108 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 12 + 1x + 18x = 108 + -18x + 18x Combine like terms: 1x + 18x = 19x 12 + 19x = 108 + -18x + 18x Combine like terms: -18x + 18x = 0 12 + 19x = 108 + 0 12 + 19x = 108 Add '-12' to each side of the equation. 12 + -12 + 19x = 108 + -12 Combine like terms: 12 + -12 = 0 0 + 19x = 108 + -12 19x = 108 + -12 Combine like terms: 108 + -12 = 96 19x = 96 Divide each side by '19'. x = 5.052631579 Simplifying x = 5.052631579
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