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Simplifying 8(3 + -2x) + 5(3x + 5) = 9 (3 * 8 + -2x * 8) + 5(3x + 5) = 9 (24 + -16x) + 5(3x + 5) = 9 Reorder the terms: 24 + -16x + 5(5 + 3x) = 9 24 + -16x + (5 * 5 + 3x * 5) = 9 24 + -16x + (25 + 15x) = 9 Reorder the terms: 24 + 25 + -16x + 15x = 9 Combine like terms: 24 + 25 = 49 49 + -16x + 15x = 9 Combine like terms: -16x + 15x = -1x 49 + -1x = 9 Solving 49 + -1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1x = 9 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 9 + -49 -1x = 9 + -49 Combine like terms: 9 + -49 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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