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Simplifying 24(-2x + 1) = -7(5x + 2) + -3x Reorder the terms: 24(1 + -2x) = -7(5x + 2) + -3x (1 * 24 + -2x * 24) = -7(5x + 2) + -3x (24 + -48x) = -7(5x + 2) + -3x Reorder the terms: 24 + -48x = -7(2 + 5x) + -3x 24 + -48x = (2 * -7 + 5x * -7) + -3x 24 + -48x = (-14 + -35x) + -3x Combine like terms: -35x + -3x = -38x 24 + -48x = -14 + -38x Solving 24 + -48x = -14 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. 24 + -48x + 38x = -14 + -38x + 38x Combine like terms: -48x + 38x = -10x 24 + -10x = -14 + -38x + 38x Combine like terms: -38x + 38x = 0 24 + -10x = -14 + 0 24 + -10x = -14 Add '-24' to each side of the equation. 24 + -24 + -10x = -14 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -14 + -24 -10x = -14 + -24 Combine like terms: -14 + -24 = -38 -10x = -38 Divide each side by '-10'. x = 3.8 Simplifying x = 3.8
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