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Simplifying -1(2 + -1x) + -3(6 + 8x) + -12 = x (2 * -1 + -1x * -1) + -3(6 + 8x) + -12 = x (-2 + 1x) + -3(6 + 8x) + -12 = x -2 + 1x + (6 * -3 + 8x * -3) + -12 = x -2 + 1x + (-18 + -24x) + -12 = x Reorder the terms: -2 + -18 + -12 + 1x + -24x = x Combine like terms: -2 + -18 = -20 -20 + -12 + 1x + -24x = x Combine like terms: -20 + -12 = -32 -32 + 1x + -24x = x Combine like terms: 1x + -24x = -23x -32 + -23x = x Solving -32 + -23x = x 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. -32 + -23x + -1x = x + -1x Combine like terms: -23x + -1x = -24x -32 + -24x = x + -1x Combine like terms: x + -1x = 0 -32 + -24x = 0 Add '32' to each side of the equation. -32 + 32 + -24x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -24x = 0 + 32 -24x = 0 + 32 Combine like terms: 0 + 32 = 32 -24x = 32 Divide each side by '-24'. x = -1.333333333 Simplifying x = -1.333333333
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