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Simplifying 3(5x + -8) + -2(x + -5) = x + 2 Reorder the terms: 3(-8 + 5x) + -2(x + -5) = x + 2 (-8 * 3 + 5x * 3) + -2(x + -5) = x + 2 (-24 + 15x) + -2(x + -5) = x + 2 Reorder the terms: -24 + 15x + -2(-5 + x) = x + 2 -24 + 15x + (-5 * -2 + x * -2) = x + 2 -24 + 15x + (10 + -2x) = x + 2 Reorder the terms: -24 + 10 + 15x + -2x = x + 2 Combine like terms: -24 + 10 = -14 -14 + 15x + -2x = x + 2 Combine like terms: 15x + -2x = 13x -14 + 13x = x + 2 Reorder the terms: -14 + 13x = 2 + x Solving -14 + 13x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 13x + -1x = 2 + x + -1x Combine like terms: 13x + -1x = 12x -14 + 12x = 2 + x + -1x Combine like terms: x + -1x = 0 -14 + 12x = 2 + 0 -14 + 12x = 2 Add '14' to each side of the equation. -14 + 14 + 12x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 2 + 14 12x = 2 + 14 Combine like terms: 2 + 14 = 16 12x = 16 Divide each side by '12'. x = 1.333333333 Simplifying x = 1.333333333
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