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