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Simplifying 2(2x + 5) + -1x = 3(5x + -2) + -8 Reorder the terms: 2(5 + 2x) + -1x = 3(5x + -2) + -8 (5 * 2 + 2x * 2) + -1x = 3(5x + -2) + -8 (10 + 4x) + -1x = 3(5x + -2) + -8 Combine like terms: 4x + -1x = 3x 10 + 3x = 3(5x + -2) + -8 Reorder the terms: 10 + 3x = 3(-2 + 5x) + -8 10 + 3x = (-2 * 3 + 5x * 3) + -8 10 + 3x = (-6 + 15x) + -8 Reorder the terms: 10 + 3x = -6 + -8 + 15x Combine like terms: -6 + -8 = -14 10 + 3x = -14 + 15x Solving 10 + 3x = -14 + 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. 10 + 3x + -15x = -14 + 15x + -15x Combine like terms: 3x + -15x = -12x 10 + -12x = -14 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -12x = -14 + 0 10 + -12x = -14 Add '-10' to each side of the equation. 10 + -10 + -12x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -14 + -10 -12x = -14 + -10 Combine like terms: -14 + -10 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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