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Simplifying 2(4x + 12) = 15(3 + -1x) + -3 Reorder the terms: 2(12 + 4x) = 15(3 + -1x) + -3 (12 * 2 + 4x * 2) = 15(3 + -1x) + -3 (24 + 8x) = 15(3 + -1x) + -3 24 + 8x = (3 * 15 + -1x * 15) + -3 24 + 8x = (45 + -15x) + -3 Reorder the terms: 24 + 8x = 45 + -3 + -15x Combine like terms: 45 + -3 = 42 24 + 8x = 42 + -15x Solving 24 + 8x = 42 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 24 + 8x + 15x = 42 + -15x + 15x Combine like terms: 8x + 15x = 23x 24 + 23x = 42 + -15x + 15x Combine like terms: -15x + 15x = 0 24 + 23x = 42 + 0 24 + 23x = 42 Add '-24' to each side of the equation. 24 + -24 + 23x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 23x = 42 + -24 23x = 42 + -24 Combine like terms: 42 + -24 = 18 23x = 18 Divide each side by '23'. x = 0.7826086957 Simplifying x = 0.7826086957
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