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Simplifying 3(3x + 6) + -1(2(5 + -3x)) = 7 + -2(x + 3) Reorder the terms: 3(6 + 3x) + -1(2(5 + -3x)) = 7 + -2(x + 3) (6 * 3 + 3x * 3) + -1(2(5 + -3x)) = 7 + -2(x + 3) (18 + 9x) + -1(2(5 + -3x)) = 7 + -2(x + 3) 18 + 9x + -1((5 * 2 + -3x * 2)) = 7 + -2(x + 3) 18 + 9x + -1((10 + -6x)) = 7 + -2(x + 3) 18 + 9x + (10 * -1 + -6x * -1) = 7 + -2(x + 3) 18 + 9x + (-10 + 6x) = 7 + -2(x + 3) Reorder the terms: 18 + -10 + 9x + 6x = 7 + -2(x + 3) Combine like terms: 18 + -10 = 8 8 + 9x + 6x = 7 + -2(x + 3) Combine like terms: 9x + 6x = 15x 8 + 15x = 7 + -2(x + 3) Reorder the terms: 8 + 15x = 7 + -2(3 + x) 8 + 15x = 7 + (3 * -2 + x * -2) 8 + 15x = 7 + (-6 + -2x) Combine like terms: 7 + -6 = 1 8 + 15x = 1 + -2x Solving 8 + 15x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 15x + 2x = 1 + -2x + 2x Combine like terms: 15x + 2x = 17x 8 + 17x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 17x = 1 + 0 8 + 17x = 1 Add '-8' to each side of the equation. 8 + -8 + 17x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 17x = 1 + -8 17x = 1 + -8 Combine like terms: 1 + -8 = -7 17x = -7 Divide each side by '17'. x = -0.4117647059 Simplifying x = -0.4117647059
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