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Simplifying 4(2x + 3) = 6 + -1(3 + -2x) Reorder the terms: 4(3 + 2x) = 6 + -1(3 + -2x) (3 * 4 + 2x * 4) = 6 + -1(3 + -2x) (12 + 8x) = 6 + -1(3 + -2x) 12 + 8x = 6 + (3 * -1 + -2x * -1) 12 + 8x = 6 + (-3 + 2x) Combine like terms: 6 + -3 = 3 12 + 8x = 3 + 2x Solving 12 + 8x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 8x + -2x = 3 + 2x + -2x Combine like terms: 8x + -2x = 6x 12 + 6x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 6x = 3 + 0 12 + 6x = 3 Add '-12' to each side of the equation. 12 + -12 + 6x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 3 + -12 6x = 3 + -12 Combine like terms: 3 + -12 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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