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Simplifying 4(3 + -2x) = 8 + -1(6x + -3) (3 * 4 + -2x * 4) = 8 + -1(6x + -3) (12 + -8x) = 8 + -1(6x + -3) Reorder the terms: 12 + -8x = 8 + -1(-3 + 6x) 12 + -8x = 8 + (-3 * -1 + 6x * -1) 12 + -8x = 8 + (3 + -6x) Combine like terms: 8 + 3 = 11 12 + -8x = 11 + -6x Solving 12 + -8x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -8x + 6x = 11 + -6x + 6x Combine like terms: -8x + 6x = -2x 12 + -2x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + -2x = 11 + 0 12 + -2x = 11 Add '-12' to each side of the equation. 12 + -12 + -2x = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 11 + -12 -2x = 11 + -12 Combine like terms: 11 + -12 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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