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Simplifying 7(1 + -2x) + -8(x + 2) = -5x + -8x (1 * 7 + -2x * 7) + -8(x + 2) = -5x + -8x (7 + -14x) + -8(x + 2) = -5x + -8x Reorder the terms: 7 + -14x + -8(2 + x) = -5x + -8x 7 + -14x + (2 * -8 + x * -8) = -5x + -8x 7 + -14x + (-16 + -8x) = -5x + -8x Reorder the terms: 7 + -16 + -14x + -8x = -5x + -8x Combine like terms: 7 + -16 = -9 -9 + -14x + -8x = -5x + -8x Combine like terms: -14x + -8x = -22x -9 + -22x = -5x + -8x Combine like terms: -5x + -8x = -13x -9 + -22x = -13x Solving -9 + -22x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -9 + -22x + 13x = -13x + 13x Combine like terms: -22x + 13x = -9x -9 + -9x = -13x + 13x Combine like terms: -13x + 13x = 0 -9 + -9x = 0 Add '9' to each side of the equation. -9 + 9 + -9x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = 0 + 9 -9x = 0 + 9 Combine like terms: 0 + 9 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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