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Simplifying 2x + -1(4x + 2) = 9x + -13 Reorder the terms: 2x + -1(2 + 4x) = 9x + -13 2x + (2 * -1 + 4x * -1) = 9x + -13 2x + (-2 + -4x) = 9x + -13 Reorder the terms: -2 + 2x + -4x = 9x + -13 Combine like terms: 2x + -4x = -2x -2 + -2x = 9x + -13 Reorder the terms: -2 + -2x = -13 + 9x Solving -2 + -2x = -13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + -2x + -9x = -13 + 9x + -9x Combine like terms: -2x + -9x = -11x -2 + -11x = -13 + 9x + -9x Combine like terms: 9x + -9x = 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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