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Simplifying 1x + -2 = 11 + 1(2x + -5) Reorder the terms: -2 + 1x = 11 + 1(2x + -5) Reorder the terms: -2 + 1x = 11 + 1(-5 + 2x) -2 + 1x = 11 + (-5 * 1 + 2x * 1) -2 + 1x = 11 + (-5 + 2x) Combine like terms: 11 + -5 = 6 -2 + 1x = 6 + 2x Solving -2 + 1x = 6 + 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. -2 + 1x + -2x = 6 + 2x + -2x Combine like terms: 1x + -2x = -1x -2 + -1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1x = 6 + 0 -2 + -1x = 6 Add '2' to each side of the equation. -2 + 2 + -1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 6 + 2 -1x = 6 + 2 Combine like terms: 6 + 2 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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