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Simplifying 2x + -1(5x + 7) = 8x + -18 Reorder the terms: 2x + -1(7 + 5x) = 8x + -18 2x + (7 * -1 + 5x * -1) = 8x + -18 2x + (-7 + -5x) = 8x + -18 Reorder the terms: -7 + 2x + -5x = 8x + -18 Combine like terms: 2x + -5x = -3x -7 + -3x = 8x + -18 Reorder the terms: -7 + -3x = -18 + 8x Solving -7 + -3x = -18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + -3x + -8x = -18 + 8x + -8x Combine like terms: -3x + -8x = -11x -7 + -11x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -11x = -18 + 0 -7 + -11x = -18 Add '7' to each side of the equation. -7 + 7 + -11x = -18 + 7 Combine like terms: -7 + 7 = 0 0 + -11x = -18 + 7 -11x = -18 + 7 Combine like terms: -18 + 7 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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