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Simplifying 24 + -12(x + -2) + 5x = -20 + 10(1 + -1x) + -12x Reorder the terms: 24 + -12(-2 + x) + 5x = -20 + 10(1 + -1x) + -12x 24 + (-2 * -12 + x * -12) + 5x = -20 + 10(1 + -1x) + -12x 24 + (24 + -12x) + 5x = -20 + 10(1 + -1x) + -12x Combine like terms: 24 + 24 = 48 48 + -12x + 5x = -20 + 10(1 + -1x) + -12x Combine like terms: -12x + 5x = -7x 48 + -7x = -20 + 10(1 + -1x) + -12x 48 + -7x = -20 + (1 * 10 + -1x * 10) + -12x 48 + -7x = -20 + (10 + -10x) + -12x Combine like terms: -20 + 10 = -10 48 + -7x = -10 + -10x + -12x Combine like terms: -10x + -12x = -22x 48 + -7x = -10 + -22x Solving 48 + -7x = -10 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 48 + -7x + 22x = -10 + -22x + 22x Combine like terms: -7x + 22x = 15x 48 + 15x = -10 + -22x + 22x Combine like terms: -22x + 22x = 0 48 + 15x = -10 + 0 48 + 15x = -10 Add '-48' to each side of the equation. 48 + -48 + 15x = -10 + -48 Combine like terms: 48 + -48 = 0 0 + 15x = -10 + -48 15x = -10 + -48 Combine like terms: -10 + -48 = -58 15x = -58 Divide each side by '15'. x = -3.866666667 Simplifying x = -3.866666667
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