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Simplifying 9x + -2x + 5 = 8x + -1(20 + -7x) Reorder the terms: 5 + 9x + -2x = 8x + -1(20 + -7x) Combine like terms: 9x + -2x = 7x 5 + 7x = 8x + -1(20 + -7x) 5 + 7x = 8x + (20 * -1 + -7x * -1) 5 + 7x = 8x + (-20 + 7x) Reorder the terms: 5 + 7x = -20 + 8x + 7x Combine like terms: 8x + 7x = 15x 5 + 7x = -20 + 15x Solving 5 + 7x = -20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + 7x + -15x = -20 + 15x + -15x Combine like terms: 7x + -15x = -8x 5 + -8x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -8x = -20 + 0 5 + -8x = -20 Add '-5' to each side of the equation. 5 + -5 + -8x = -20 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = -20 + -5 -8x = -20 + -5 Combine like terms: -20 + -5 = -25 -8x = -25 Divide each side by '-8'. x = 3.125 Simplifying x = 3.125
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