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Simplifying 2(4x + 5) = 9 + -1(x + 2) Reorder the terms: 2(5 + 4x) = 9 + -1(x + 2) (5 * 2 + 4x * 2) = 9 + -1(x + 2) (10 + 8x) = 9 + -1(x + 2) Reorder the terms: 10 + 8x = 9 + -1(2 + x) 10 + 8x = 9 + (2 * -1 + x * -1) 10 + 8x = 9 + (-2 + -1x) Combine like terms: 9 + -2 = 7 10 + 8x = 7 + -1x Solving 10 + 8x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 8x + x = 7 + -1x + x Combine like terms: 8x + x = 9x 10 + 9x = 7 + -1x + x Combine like terms: -1x + x = 0 10 + 9x = 7 + 0 10 + 9x = 7 Add '-10' to each side of the equation. 10 + -10 + 9x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 7 + -10 9x = 7 + -10 Combine like terms: 7 + -10 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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