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Simplifying 4(2x + 1) + -12x = 2(8x + 12) Reorder the terms: 4(1 + 2x) + -12x = 2(8x + 12) (1 * 4 + 2x * 4) + -12x = 2(8x + 12) (4 + 8x) + -12x = 2(8x + 12) Combine like terms: 8x + -12x = -4x 4 + -4x = 2(8x + 12) Reorder the terms: 4 + -4x = 2(12 + 8x) 4 + -4x = (12 * 2 + 8x * 2) 4 + -4x = (24 + 16x) Solving 4 + -4x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 4 + -4x + -16x = 24 + 16x + -16x Combine like terms: -4x + -16x = -20x 4 + -20x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 4 + -20x = 24 + 0 4 + -20x = 24 Add '-4' to each side of the equation. 4 + -4 + -20x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -20x = 24 + -4 -20x = 24 + -4 Combine like terms: 24 + -4 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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