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Simplifying x + (x + -2) + 2(x + -2) + -1 + 2(x + -2) = 25 Reorder the terms: x + (-2 + x) + 2(x + -2) + -1 + 2(x + -2) = 25 Remove parenthesis around (-2 + x) x + -2 + x + 2(x + -2) + -1 + 2(x + -2) = 25 Reorder the terms: x + -2 + x + 2(-2 + x) + -1 + 2(x + -2) = 25 x + -2 + x + (-2 * 2 + x * 2) + -1 + 2(x + -2) = 25 x + -2 + x + (-4 + 2x) + -1 + 2(x + -2) = 25 Reorder the terms: x + -2 + x + -4 + 2x + -1 + 2(-2 + x) = 25 x + -2 + x + -4 + 2x + -1 + (-2 * 2 + x * 2) = 25 x + -2 + x + -4 + 2x + -1 + (-4 + 2x) = 25 Reorder the terms: -2 + -4 + -1 + -4 + x + x + 2x + 2x = 25 Combine like terms: -2 + -4 = -6 -6 + -1 + -4 + x + x + 2x + 2x = 25 Combine like terms: -6 + -1 = -7 -7 + -4 + x + x + 2x + 2x = 25 Combine like terms: -7 + -4 = -11 -11 + x + x + 2x + 2x = 25 Combine like terms: x + x = 2x -11 + 2x + 2x + 2x = 25 Combine like terms: 2x + 2x = 4x -11 + 4x + 2x = 25 Combine like terms: 4x + 2x = 6x -11 + 6x = 25 Solving -11 + 6x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6x = 25 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 25 + 11 6x = 25 + 11 Combine like terms: 25 + 11 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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