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Simplifying 5(3x + 4) + -9(5x + -5) = 5(x + 13) Reorder the terms: 5(4 + 3x) + -9(5x + -5) = 5(x + 13) (4 * 5 + 3x * 5) + -9(5x + -5) = 5(x + 13) (20 + 15x) + -9(5x + -5) = 5(x + 13) Reorder the terms: 20 + 15x + -9(-5 + 5x) = 5(x + 13) 20 + 15x + (-5 * -9 + 5x * -9) = 5(x + 13) 20 + 15x + (45 + -45x) = 5(x + 13) Reorder the terms: 20 + 45 + 15x + -45x = 5(x + 13) Combine like terms: 20 + 45 = 65 65 + 15x + -45x = 5(x + 13) Combine like terms: 15x + -45x = -30x 65 + -30x = 5(x + 13) Reorder the terms: 65 + -30x = 5(13 + x) 65 + -30x = (13 * 5 + x * 5) 65 + -30x = (65 + 5x) Add '-65' to each side of the equation. 65 + -65 + -30x = 65 + -65 + 5x Combine like terms: 65 + -65 = 0 0 + -30x = 65 + -65 + 5x -30x = 65 + -65 + 5x Combine like terms: 65 + -65 = 0 -30x = 0 + 5x -30x = 5x Solving -30x = 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. -30x + -5x = 5x + -5x Combine like terms: -30x + -5x = -35x -35x = 5x + -5x Combine like terms: 5x + -5x = 0 -35x = 0 Divide each side by '-35'. x = 0 Simplifying x = 0
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