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Simplifying 10 + -1(2x + -5) = 3(4x + -2) + -1(5x + -8) Reorder the terms: 10 + -1(-5 + 2x) = 3(4x + -2) + -1(5x + -8) 10 + (-5 * -1 + 2x * -1) = 3(4x + -2) + -1(5x + -8) 10 + (5 + -2x) = 3(4x + -2) + -1(5x + -8) Combine like terms: 10 + 5 = 15 15 + -2x = 3(4x + -2) + -1(5x + -8) Reorder the terms: 15 + -2x = 3(-2 + 4x) + -1(5x + -8) 15 + -2x = (-2 * 3 + 4x * 3) + -1(5x + -8) 15 + -2x = (-6 + 12x) + -1(5x + -8) Reorder the terms: 15 + -2x = -6 + 12x + -1(-8 + 5x) 15 + -2x = -6 + 12x + (-8 * -1 + 5x * -1) 15 + -2x = -6 + 12x + (8 + -5x) Reorder the terms: 15 + -2x = -6 + 8 + 12x + -5x Combine like terms: -6 + 8 = 2 15 + -2x = 2 + 12x + -5x Combine like terms: 12x + -5x = 7x 15 + -2x = 2 + 7x Solving 15 + -2x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -2x + -7x = 2 + 7x + -7x Combine like terms: -2x + -7x = -9x 15 + -9x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -9x = 2 + 0 15 + -9x = 2 Add '-15' to each side of the equation. 15 + -15 + -9x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 2 + -15 -9x = 2 + -15 Combine like terms: 2 + -15 = -13 -9x = -13 Divide each side by '-9'. x = 1.444444444 Simplifying x = 1.444444444
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