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Simplifying 12 + 3(x + -4) + -26 = 2[5 + -4(7 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -26 = 2[5 + -4(7 + -1x)] 12 + (-4 * 3 + x * 3) + -26 = 2[5 + -4(7 + -1x)] 12 + (-12 + 3x) + -26 = 2[5 + -4(7 + -1x)] Reorder the terms: 12 + -12 + -26 + 3x = 2[5 + -4(7 + -1x)] Combine like terms: 12 + -12 = 0 0 + -26 + 3x = 2[5 + -4(7 + -1x)] -26 + 3x = 2[5 + -4(7 + -1x)] -26 + 3x = 2[5 + (7 * -4 + -1x * -4)] -26 + 3x = 2[5 + (-28 + 4x)] Combine like terms: 5 + -28 = -23 -26 + 3x = 2[-23 + 4x] -26 + 3x = [-23 * 2 + 4x * 2] -26 + 3x = [-46 + 8x] Solving -26 + 3x = -46 + 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. -26 + 3x + -8x = -46 + 8x + -8x Combine like terms: 3x + -8x = -5x -26 + -5x = -46 + 8x + -8x Combine like terms: 8x + -8x = 0 -26 + -5x = -46 + 0 -26 + -5x = -46 Add '26' to each side of the equation. -26 + 26 + -5x = -46 + 26 Combine like terms: -26 + 26 = 0 0 + -5x = -46 + 26 -5x = -46 + 26 Combine like terms: -46 + 26 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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