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Simplifying 5x + -2(-2x + 1) = 2 + -1(2x + 15) Reorder the terms: 5x + -2(1 + -2x) = 2 + -1(2x + 15) 5x + (1 * -2 + -2x * -2) = 2 + -1(2x + 15) 5x + (-2 + 4x) = 2 + -1(2x + 15) Reorder the terms: -2 + 5x + 4x = 2 + -1(2x + 15) Combine like terms: 5x + 4x = 9x -2 + 9x = 2 + -1(2x + 15) Reorder the terms: -2 + 9x = 2 + -1(15 + 2x) -2 + 9x = 2 + (15 * -1 + 2x * -1) -2 + 9x = 2 + (-15 + -2x) Combine like terms: 2 + -15 = -13 -2 + 9x = -13 + -2x Solving -2 + 9x = -13 + -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 + 9x + 2x = -13 + -2x + 2x Combine like terms: 9x + 2x = 11x -2 + 11x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 11x = -13 + 0 -2 + 11x = -13 Add '2' to each side of the equation. -2 + 2 + 11x = -13 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = -13 + 2 11x = -13 + 2 Combine like terms: -13 + 2 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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