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Simplifying 2x + -5(x + -6) = 2(10 + -1x) + 10 Reorder the terms: 2x + -5(-6 + x) = 2(10 + -1x) + 10 2x + (-6 * -5 + x * -5) = 2(10 + -1x) + 10 2x + (30 + -5x) = 2(10 + -1x) + 10 Reorder the terms: 30 + 2x + -5x = 2(10 + -1x) + 10 Combine like terms: 2x + -5x = -3x 30 + -3x = 2(10 + -1x) + 10 30 + -3x = (10 * 2 + -1x * 2) + 10 30 + -3x = (20 + -2x) + 10 Reorder the terms: 30 + -3x = 20 + 10 + -2x Combine like terms: 20 + 10 = 30 30 + -3x = 30 + -2x Add '-30' to each side of the equation. 30 + -30 + -3x = 30 + -30 + -2x Combine like terms: 30 + -30 = 0 0 + -3x = 30 + -30 + -2x -3x = 30 + -30 + -2x Combine like terms: 30 + -30 = 0 -3x = 0 + -2x -3x = -2x Solving -3x = -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. -3x + 2x = -2x + 2x Combine like terms: -3x + 2x = -1x -1x = -2x + 2x Combine like terms: -2x + 2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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