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Simplifying 2(x + -5) + -10 = x + 7 Reorder the terms: 2(-5 + x) + -10 = x + 7 (-5 * 2 + x * 2) + -10 = x + 7 (-10 + 2x) + -10 = x + 7 Reorder the terms: -10 + -10 + 2x = x + 7 Combine like terms: -10 + -10 = -20 -20 + 2x = x + 7 Reorder the terms: -20 + 2x = 7 + x Solving -20 + 2x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + 2x + -1x = 7 + x + -1x Combine like terms: 2x + -1x = 1x -20 + 1x = 7 + x + -1x Combine like terms: x + -1x = 0 -20 + 1x = 7 + 0 -20 + 1x = 7 Add '20' to each side of the equation. -20 + 20 + 1x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 7 + 20 1x = 7 + 20 Combine like terms: 7 + 20 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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