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Simplifying -4(2x + -3) = 2(x + 4) Reorder the terms: -4(-3 + 2x) = 2(x + 4) (-3 * -4 + 2x * -4) = 2(x + 4) (12 + -8x) = 2(x + 4) Reorder the terms: 12 + -8x = 2(4 + x) 12 + -8x = (4 * 2 + x * 2) 12 + -8x = (8 + 2x) Solving 12 + -8x = 8 + 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 = 8 + 2x + -2x Combine like terms: -8x + -2x = -10x 12 + -10x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -10x = 8 + 0 12 + -10x = 8 Add '-12' to each side of the equation. 12 + -12 + -10x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 8 + -12 -10x = 8 + -12 Combine like terms: 8 + -12 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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