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Simplifying -5(x + 2) = 2(2x + -15) + x Reorder the terms: -5(2 + x) = 2(2x + -15) + x (2 * -5 + x * -5) = 2(2x + -15) + x (-10 + -5x) = 2(2x + -15) + x Reorder the terms: -10 + -5x = 2(-15 + 2x) + x -10 + -5x = (-15 * 2 + 2x * 2) + x -10 + -5x = (-30 + 4x) + x Combine like terms: 4x + x = 5x -10 + -5x = -30 + 5x Solving -10 + -5x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + -5x + -5x = -30 + 5x + -5x Combine like terms: -5x + -5x = -10x -10 + -10x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -10x = -30 + 0 -10 + -10x = -30 Add '10' to each side of the equation. -10 + 10 + -10x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = -30 + 10 -10x = -30 + 10 Combine like terms: -30 + 10 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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