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Simplifying -3(x + -5) + 5(8x + 5) = 36(x + 1) + -5 Reorder the terms: -3(-5 + x) + 5(8x + 5) = 36(x + 1) + -5 (-5 * -3 + x * -3) + 5(8x + 5) = 36(x + 1) + -5 (15 + -3x) + 5(8x + 5) = 36(x + 1) + -5 Reorder the terms: 15 + -3x + 5(5 + 8x) = 36(x + 1) + -5 15 + -3x + (5 * 5 + 8x * 5) = 36(x + 1) + -5 15 + -3x + (25 + 40x) = 36(x + 1) + -5 Reorder the terms: 15 + 25 + -3x + 40x = 36(x + 1) + -5 Combine like terms: 15 + 25 = 40 40 + -3x + 40x = 36(x + 1) + -5 Combine like terms: -3x + 40x = 37x 40 + 37x = 36(x + 1) + -5 Reorder the terms: 40 + 37x = 36(1 + x) + -5 40 + 37x = (1 * 36 + x * 36) + -5 40 + 37x = (36 + 36x) + -5 Reorder the terms: 40 + 37x = 36 + -5 + 36x Combine like terms: 36 + -5 = 31 40 + 37x = 31 + 36x Solving 40 + 37x = 31 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 40 + 37x + -36x = 31 + 36x + -36x Combine like terms: 37x + -36x = 1x 40 + 1x = 31 + 36x + -36x Combine like terms: 36x + -36x = 0 40 + 1x = 31 + 0 40 + 1x = 31 Add '-40' to each side of the equation. 40 + -40 + 1x = 31 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 31 + -40 1x = 31 + -40 Combine like terms: 31 + -40 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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