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Simplifying 5x + 20 + -2x = 10 + -1(5x + 6) Reorder the terms: 20 + 5x + -2x = 10 + -1(5x + 6) Combine like terms: 5x + -2x = 3x 20 + 3x = 10 + -1(5x + 6) Reorder the terms: 20 + 3x = 10 + -1(6 + 5x) 20 + 3x = 10 + (6 * -1 + 5x * -1) 20 + 3x = 10 + (-6 + -5x) Combine like terms: 10 + -6 = 4 20 + 3x = 4 + -5x Solving 20 + 3x = 4 + -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. 20 + 3x + 5x = 4 + -5x + 5x Combine like terms: 3x + 5x = 8x 20 + 8x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 8x = 4 + 0 20 + 8x = 4 Add '-20' to each side of the equation. 20 + -20 + 8x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 4 + -20 8x = 4 + -20 Combine like terms: 4 + -20 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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