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Simplifying 4(2x + 3) = -1(3x + -1) Reorder the terms: 4(3 + 2x) = -1(3x + -1) (3 * 4 + 2x * 4) = -1(3x + -1) (12 + 8x) = -1(3x + -1) Reorder the terms: 12 + 8x = -1(-1 + 3x) 12 + 8x = (-1 * -1 + 3x * -1) 12 + 8x = (1 + -3x) Solving 12 + 8x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 8x + 3x = 1 + -3x + 3x Combine like terms: 8x + 3x = 11x 12 + 11x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 11x = 1 + 0 12 + 11x = 1 Add '-12' to each side of the equation. 12 + -12 + 11x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 1 + -12 11x = 1 + -12 Combine like terms: 1 + -12 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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