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Simplifying 12(2 + -4x) = 20(1 + -2x) + -15x + 13 (2 * 12 + -4x * 12) = 20(1 + -2x) + -15x + 13 (24 + -48x) = 20(1 + -2x) + -15x + 13 24 + -48x = (1 * 20 + -2x * 20) + -15x + 13 24 + -48x = (20 + -40x) + -15x + 13 Reorder the terms: 24 + -48x = 20 + 13 + -40x + -15x Combine like terms: 20 + 13 = 33 24 + -48x = 33 + -40x + -15x Combine like terms: -40x + -15x = -55x 24 + -48x = 33 + -55x Solving 24 + -48x = 33 + -55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55x' to each side of the equation. 24 + -48x + 55x = 33 + -55x + 55x Combine like terms: -48x + 55x = 7x 24 + 7x = 33 + -55x + 55x Combine like terms: -55x + 55x = 0 24 + 7x = 33 + 0 24 + 7x = 33 Add '-24' to each side of the equation. 24 + -24 + 7x = 33 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 33 + -24 7x = 33 + -24 Combine like terms: 33 + -24 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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