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Simplifying (x + -5) + 3(x + -5) = -1(-2x + -8) Reorder the terms: (-5 + x) + 3(x + -5) = -1(-2x + -8) Remove parenthesis around (-5 + x) -5 + x + 3(x + -5) = -1(-2x + -8) Reorder the terms: -5 + x + 3(-5 + x) = -1(-2x + -8) -5 + x + (-5 * 3 + x * 3) = -1(-2x + -8) -5 + x + (-15 + 3x) = -1(-2x + -8) Reorder the terms: -5 + -15 + x + 3x = -1(-2x + -8) Combine like terms: -5 + -15 = -20 -20 + x + 3x = -1(-2x + -8) Combine like terms: x + 3x = 4x -20 + 4x = -1(-2x + -8) Reorder the terms: -20 + 4x = -1(-8 + -2x) -20 + 4x = (-8 * -1 + -2x * -1) -20 + 4x = (8 + 2x) Solving -20 + 4x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x -20 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 2x = 8 + 0 -20 + 2x = 8 Add '20' to each side of the equation. -20 + 20 + 2x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 8 + 20 2x = 8 + 20 Combine like terms: 8 + 20 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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