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Simplifying X + -2(x + -5) = 3(x + 5) Reorder the terms: X + -2(-5 + x) = 3(x + 5) X + (-5 * -2 + x * -2) = 3(x + 5) X + (10 + -2x) = 3(x + 5) Reorder the terms: 10 + X + -2x = 3(x + 5) Reorder the terms: 10 + X + -2x = 3(5 + x) 10 + X + -2x = (5 * 3 + x * 3) 10 + X + -2x = (15 + 3x) Solving 10 + X + -2x = 15 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + X + -10 + -2x = 15 + -10 + 3x Reorder the terms: 10 + -10 + X + -2x = 15 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + X + -2x = 15 + -10 + 3x X + -2x = 15 + -10 + 3x Combine like terms: 15 + -10 = 5 X + -2x = 5 + 3x Add '2x' to each side of the equation. X + -2x + 2x = 5 + 3x + 2x Combine like terms: -2x + 2x = 0 X + 0 = 5 + 3x + 2x X = 5 + 3x + 2x Combine like terms: 3x + 2x = 5x X = 5 + 5x Simplifying X = 5 + 5x
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