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Simplifying 2x + -5 = 15 + -1(x + -2) Reorder the terms: -5 + 2x = 15 + -1(x + -2) Reorder the terms: -5 + 2x = 15 + -1(-2 + x) -5 + 2x = 15 + (-2 * -1 + x * -1) -5 + 2x = 15 + (2 + -1x) Combine like terms: 15 + 2 = 17 -5 + 2x = 17 + -1x Solving -5 + 2x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 2x + x = 17 + -1x + x Combine like terms: 2x + x = 3x -5 + 3x = 17 + -1x + x Combine like terms: -1x + x = 0 -5 + 3x = 17 + 0 -5 + 3x = 17 Add '5' to each side of the equation. -5 + 5 + 3x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 17 + 5 3x = 17 + 5 Combine like terms: 17 + 5 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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