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Simplifying 15x + 3(2x + 1) = -9 + 5(-2x + 2) Reorder the terms: 15x + 3(1 + 2x) = -9 + 5(-2x + 2) 15x + (1 * 3 + 2x * 3) = -9 + 5(-2x + 2) 15x + (3 + 6x) = -9 + 5(-2x + 2) Reorder the terms: 3 + 15x + 6x = -9 + 5(-2x + 2) Combine like terms: 15x + 6x = 21x 3 + 21x = -9 + 5(-2x + 2) Reorder the terms: 3 + 21x = -9 + 5(2 + -2x) 3 + 21x = -9 + (2 * 5 + -2x * 5) 3 + 21x = -9 + (10 + -10x) Combine like terms: -9 + 10 = 1 3 + 21x = 1 + -10x Solving 3 + 21x = 1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + 21x + 10x = 1 + -10x + 10x Combine like terms: 21x + 10x = 31x 3 + 31x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 31x = 1 + 0 3 + 31x = 1 Add '-3' to each side of the equation. 3 + -3 + 31x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 31x = 1 + -3 31x = 1 + -3 Combine like terms: 1 + -3 = -2 31x = -2 Divide each side by '31'. x = -0.06451612903 Simplifying x = -0.06451612903
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