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Simplifying 5(x + 8) + -20 = -13 + -4(2x + -5) Reorder the terms: 5(8 + x) + -20 = -13 + -4(2x + -5) (8 * 5 + x * 5) + -20 = -13 + -4(2x + -5) (40 + 5x) + -20 = -13 + -4(2x + -5) Reorder the terms: 40 + -20 + 5x = -13 + -4(2x + -5) Combine like terms: 40 + -20 = 20 20 + 5x = -13 + -4(2x + -5) Reorder the terms: 20 + 5x = -13 + -4(-5 + 2x) 20 + 5x = -13 + (-5 * -4 + 2x * -4) 20 + 5x = -13 + (20 + -8x) Combine like terms: -13 + 20 = 7 20 + 5x = 7 + -8x Solving 20 + 5x = 7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + 5x + 8x = 7 + -8x + 8x Combine like terms: 5x + 8x = 13x 20 + 13x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + 13x = 7 + 0 20 + 13x = 7 Add '-20' to each side of the equation. 20 + -20 + 13x = 7 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 7 + -20 13x = 7 + -20 Combine like terms: 7 + -20 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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