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Simplifying 2(x + -5) = 1(x + 6) Reorder the terms: 2(-5 + x) = 1(x + 6) (-5 * 2 + x * 2) = 1(x + 6) (-10 + 2x) = 1(x + 6) Reorder the terms: -10 + 2x = 1(6 + x) -10 + 2x = (6 * 1 + x * 1) -10 + 2x = (6 + 1x) Solving -10 + 2x = 6 + 1x 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. -10 + 2x + -1x = 6 + 1x + -1x Combine like terms: 2x + -1x = 1x -10 + 1x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 1x = 6 + 0 -10 + 1x = 6 Add '10' to each side of the equation. -10 + 10 + 1x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 6 + 10 1x = 6 + 10 Combine like terms: 6 + 10 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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