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Simplifying 4(2 + -3x) = 7 + -2(x + -3) (2 * 4 + -3x * 4) = 7 + -2(x + -3) (8 + -12x) = 7 + -2(x + -3) Reorder the terms: 8 + -12x = 7 + -2(-3 + x) 8 + -12x = 7 + (-3 * -2 + x * -2) 8 + -12x = 7 + (6 + -2x) Combine like terms: 7 + 6 = 13 8 + -12x = 13 + -2x Solving 8 + -12x = 13 + -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. 8 + -12x + 2x = 13 + -2x + 2x Combine like terms: -12x + 2x = -10x 8 + -10x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -10x = 13 + 0 8 + -10x = 13 Add '-8' to each side of the equation. 8 + -8 + -10x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 13 + -8 -10x = 13 + -8 Combine like terms: 13 + -8 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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