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Simplifying 4(2x + 3) = 3(1 + -4x) + -31 Reorder the terms: 4(3 + 2x) = 3(1 + -4x) + -31 (3 * 4 + 2x * 4) = 3(1 + -4x) + -31 (12 + 8x) = 3(1 + -4x) + -31 12 + 8x = (1 * 3 + -4x * 3) + -31 12 + 8x = (3 + -12x) + -31 Reorder the terms: 12 + 8x = 3 + -31 + -12x Combine like terms: 3 + -31 = -28 12 + 8x = -28 + -12x Solving 12 + 8x = -28 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12 + 8x + 12x = -28 + -12x + 12x Combine like terms: 8x + 12x = 20x 12 + 20x = -28 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 20x = -28 + 0 12 + 20x = -28 Add '-12' to each side of the equation. 12 + -12 + 20x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + 20x = -28 + -12 20x = -28 + -12 Combine like terms: -28 + -12 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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