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Simplifying 1 + -1(x + 2) + 2x = 5(2 + -5) + -1x Reorder the terms: 1 + -1(2 + x) + 2x = 5(2 + -5) + -1x 1 + (2 * -1 + x * -1) + 2x = 5(2 + -5) + -1x 1 + (-2 + -1x) + 2x = 5(2 + -5) + -1x Combine like terms: 1 + -2 = -1 -1 + -1x + 2x = 5(2 + -5) + -1x Combine like terms: -1x + 2x = 1x -1 + 1x = 5(2 + -5) + -1x Combine like terms: 2 + -5 = -3 -1 + 1x = 5(-3) + -1x Multiply 5 * -3 -1 + 1x = -15 + -1x Solving -1 + 1x = -15 + -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. -1 + 1x + x = -15 + -1x + x Combine like terms: 1x + x = 2x -1 + 2x = -15 + -1x + x Combine like terms: -1x + x = 0 -1 + 2x = -15 + 0 -1 + 2x = -15 Add '1' to each side of the equation. -1 + 1 + 2x = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -15 + 1 2x = -15 + 1 Combine like terms: -15 + 1 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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