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Simplifying 2(5 + 3x) + -1(4 + -2x) = 5(x + 9) (5 * 2 + 3x * 2) + -1(4 + -2x) = 5(x + 9) (10 + 6x) + -1(4 + -2x) = 5(x + 9) 10 + 6x + (4 * -1 + -2x * -1) = 5(x + 9) 10 + 6x + (-4 + 2x) = 5(x + 9) Reorder the terms: 10 + -4 + 6x + 2x = 5(x + 9) Combine like terms: 10 + -4 = 6 6 + 6x + 2x = 5(x + 9) Combine like terms: 6x + 2x = 8x 6 + 8x = 5(x + 9) Reorder the terms: 6 + 8x = 5(9 + x) 6 + 8x = (9 * 5 + x * 5) 6 + 8x = (45 + 5x) Solving 6 + 8x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 8x + -5x = 45 + 5x + -5x Combine like terms: 8x + -5x = 3x 6 + 3x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 3x = 45 + 0 6 + 3x = 45 Add '-6' to each side of the equation. 6 + -6 + 3x = 45 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 45 + -6 3x = 45 + -6 Combine like terms: 45 + -6 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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