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Simplifying 2 + -1(5x + 10) + -2(x + -7) = 2x + 6 Reorder the terms: 2 + -1(10 + 5x) + -2(x + -7) = 2x + 6 2 + (10 * -1 + 5x * -1) + -2(x + -7) = 2x + 6 2 + (-10 + -5x) + -2(x + -7) = 2x + 6 Reorder the terms: 2 + -10 + -5x + -2(-7 + x) = 2x + 6 2 + -10 + -5x + (-7 * -2 + x * -2) = 2x + 6 2 + -10 + -5x + (14 + -2x) = 2x + 6 Reorder the terms: 2 + -10 + 14 + -5x + -2x = 2x + 6 Combine like terms: 2 + -10 = -8 -8 + 14 + -5x + -2x = 2x + 6 Combine like terms: -8 + 14 = 6 6 + -5x + -2x = 2x + 6 Combine like terms: -5x + -2x = -7x 6 + -7x = 2x + 6 Reorder the terms: 6 + -7x = 6 + 2x Add '-6' to each side of the equation. 6 + -6 + -7x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 0 + -7x = 6 + -6 + 2x -7x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 -7x = 0 + 2x -7x = 2x Solving -7x = 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. -7x + -2x = 2x + -2x Combine like terms: -7x + -2x = -9x -9x = 2x + -2x Combine like terms: 2x + -2x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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