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Simplifying 12 + -1x = 2(4x + -3) Reorder the terms: 12 + -1x = 2(-3 + 4x) 12 + -1x = (-3 * 2 + 4x * 2) 12 + -1x = (-6 + 8x) Solving 12 + -1x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -1x + -8x = -6 + 8x + -8x Combine like terms: -1x + -8x = -9x 12 + -9x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -9x = -6 + 0 12 + -9x = -6 Add '-12' to each side of the equation. 12 + -12 + -9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -6 + -12 -9x = -6 + -12 Combine like terms: -6 + -12 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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