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Simplifying 15 + -1(12x + 3) + (27x + -3) = 75 + -18x Reorder the terms: 15 + -1(3 + 12x) + (27x + -3) = 75 + -18x 15 + (3 * -1 + 12x * -1) + (27x + -3) = 75 + -18x 15 + (-3 + -12x) + (27x + -3) = 75 + -18x Reorder the terms: 15 + -3 + -12x + (-3 + 27x) = 75 + -18x Remove parenthesis around (-3 + 27x) 15 + -3 + -12x + -3 + 27x = 75 + -18x Reorder the terms: 15 + -3 + -3 + -12x + 27x = 75 + -18x Combine like terms: 15 + -3 = 12 12 + -3 + -12x + 27x = 75 + -18x Combine like terms: 12 + -3 = 9 9 + -12x + 27x = 75 + -18x Combine like terms: -12x + 27x = 15x 9 + 15x = 75 + -18x Solving 9 + 15x = 75 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 9 + 15x + 18x = 75 + -18x + 18x Combine like terms: 15x + 18x = 33x 9 + 33x = 75 + -18x + 18x Combine like terms: -18x + 18x = 0 9 + 33x = 75 + 0 9 + 33x = 75 Add '-9' to each side of the equation. 9 + -9 + 33x = 75 + -9 Combine like terms: 9 + -9 = 0 0 + 33x = 75 + -9 33x = 75 + -9 Combine like terms: 75 + -9 = 66 33x = 66 Divide each side by '33'. x = 2 Simplifying x = 2
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