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Simplifying 12 + -3(6x + -2) = 4(x + 5) + -1(9 + -1x) Reorder the terms: 12 + -3(-2 + 6x) = 4(x + 5) + -1(9 + -1x) 12 + (-2 * -3 + 6x * -3) = 4(x + 5) + -1(9 + -1x) 12 + (6 + -18x) = 4(x + 5) + -1(9 + -1x) Combine like terms: 12 + 6 = 18 18 + -18x = 4(x + 5) + -1(9 + -1x) Reorder the terms: 18 + -18x = 4(5 + x) + -1(9 + -1x) 18 + -18x = (5 * 4 + x * 4) + -1(9 + -1x) 18 + -18x = (20 + 4x) + -1(9 + -1x) 18 + -18x = 20 + 4x + (9 * -1 + -1x * -1) 18 + -18x = 20 + 4x + (-9 + 1x) Reorder the terms: 18 + -18x = 20 + -9 + 4x + 1x Combine like terms: 20 + -9 = 11 18 + -18x = 11 + 4x + 1x Combine like terms: 4x + 1x = 5x 18 + -18x = 11 + 5x Solving 18 + -18x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -18x + -5x = 11 + 5x + -5x Combine like terms: -18x + -5x = -23x 18 + -23x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -23x = 11 + 0 18 + -23x = 11 Add '-18' to each side of the equation. 18 + -18 + -23x = 11 + -18 Combine like terms: 18 + -18 = 0 0 + -23x = 11 + -18 -23x = 11 + -18 Combine like terms: 11 + -18 = -7 -23x = -7 Divide each side by '-23'. x = 0.3043478261 Simplifying x = 0.3043478261
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