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Simplifying 2(7 + -3(1 + -1x)) + 9x = -2 + 2(6(x + 1) + -3x) 2(7 + (1 * -3 + -1x * -3)) + 9x = -2 + 2(6(x + 1) + -3x) 2(7 + (-3 + 3x)) + 9x = -2 + 2(6(x + 1) + -3x) Combine like terms: 7 + -3 = 4 2(4 + 3x) + 9x = -2 + 2(6(x + 1) + -3x) (4 * 2 + 3x * 2) + 9x = -2 + 2(6(x + 1) + -3x) (8 + 6x) + 9x = -2 + 2(6(x + 1) + -3x) Combine like terms: 6x + 9x = 15x 8 + 15x = -2 + 2(6(x + 1) + -3x) Reorder the terms: 8 + 15x = -2 + 2(6(1 + x) + -3x) 8 + 15x = -2 + 2((1 * 6 + x * 6) + -3x) 8 + 15x = -2 + 2((6 + 6x) + -3x) Combine like terms: 6x + -3x = 3x 8 + 15x = -2 + 2(6 + 3x) 8 + 15x = -2 + (6 * 2 + 3x * 2) 8 + 15x = -2 + (12 + 6x) Combine like terms: -2 + 12 = 10 8 + 15x = 10 + 6x Solving 8 + 15x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 15x + -6x = 10 + 6x + -6x Combine like terms: 15x + -6x = 9x 8 + 9x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 9x = 10 + 0 8 + 9x = 10 Add '-8' to each side of the equation. 8 + -8 + 9x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 10 + -8 9x = 10 + -8 Combine like terms: 10 + -8 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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