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Simplifying 4(-2x + 7) + -3(-6 + -4x) = 0 Reorder the terms: 4(7 + -2x) + -3(-6 + -4x) = 0 (7 * 4 + -2x * 4) + -3(-6 + -4x) = 0 (28 + -8x) + -3(-6 + -4x) = 0 28 + -8x + (-6 * -3 + -4x * -3) = 0 28 + -8x + (18 + 12x) = 0 Reorder the terms: 28 + 18 + -8x + 12x = 0 Combine like terms: 28 + 18 = 46 46 + -8x + 12x = 0 Combine like terms: -8x + 12x = 4x 46 + 4x = 0 Solving 46 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 4x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 4x = 0 + -46 4x = 0 + -46 Combine like terms: 0 + -46 = -46 4x = -46 Divide each side by '4'. x = -11.5 Simplifying x = -11.5
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