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Simplifying 4(3x + 1) = 2x + -1(8 + -2x) Reorder the terms: 4(1 + 3x) = 2x + -1(8 + -2x) (1 * 4 + 3x * 4) = 2x + -1(8 + -2x) (4 + 12x) = 2x + -1(8 + -2x) 4 + 12x = 2x + (8 * -1 + -2x * -1) 4 + 12x = 2x + (-8 + 2x) Reorder the terms: 4 + 12x = -8 + 2x + 2x Combine like terms: 2x + 2x = 4x 4 + 12x = -8 + 4x Solving 4 + 12x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 12x + -4x = -8 + 4x + -4x Combine like terms: 12x + -4x = 8x 4 + 8x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 8x = -8 + 0 4 + 8x = -8 Add '-4' to each side of the equation. 4 + -4 + 8x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -8 + -4 8x = -8 + -4 Combine like terms: -8 + -4 = -12 8x = -12 Divide each side by '8'. x = -1.5 Simplifying x = -1.5
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