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Simplifying 12 + 3(x + -4) + -12 = 2[5 + -4(4 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -12 = 2[5 + -4(4 + -1x)] 12 + (-4 * 3 + x * 3) + -12 = 2[5 + -4(4 + -1x)] 12 + (-12 + 3x) + -12 = 2[5 + -4(4 + -1x)] Reorder the terms: 12 + -12 + -12 + 3x = 2[5 + -4(4 + -1x)] Combine like terms: 12 + -12 = 0 0 + -12 + 3x = 2[5 + -4(4 + -1x)] -12 + 3x = 2[5 + -4(4 + -1x)] -12 + 3x = 2[5 + (4 * -4 + -1x * -4)] -12 + 3x = 2[5 + (-16 + 4x)] Combine like terms: 5 + -16 = -11 -12 + 3x = 2[-11 + 4x] -12 + 3x = [-11 * 2 + 4x * 2] -12 + 3x = [-22 + 8x] Solving -12 + 3x = -22 + 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 + 3x + -8x = -22 + 8x + -8x Combine like terms: 3x + -8x = -5x -12 + -5x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -5x = -22 + 0 -12 + -5x = -22 Add '12' to each side of the equation. -12 + 12 + -5x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = -22 + 12 -5x = -22 + 12 Combine like terms: -22 + 12 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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