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Simplifying 2(-17 + -5x) = 9x + -1(x + 7) (-17 * 2 + -5x * 2) = 9x + -1(x + 7) (-34 + -10x) = 9x + -1(x + 7) Reorder the terms: -34 + -10x = 9x + -1(7 + x) -34 + -10x = 9x + (7 * -1 + x * -1) -34 + -10x = 9x + (-7 + -1x) Reorder the terms: -34 + -10x = -7 + 9x + -1x Combine like terms: 9x + -1x = 8x -34 + -10x = -7 + 8x Solving -34 + -10x = -7 + 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. -34 + -10x + -8x = -7 + 8x + -8x Combine like terms: -10x + -8x = -18x -34 + -18x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -18x = -7 + 0 -34 + -18x = -7 Add '34' to each side of the equation. -34 + 34 + -18x = -7 + 34 Combine like terms: -34 + 34 = 0 0 + -18x = -7 + 34 -18x = -7 + 34 Combine like terms: -7 + 34 = 27 -18x = 27 Divide each side by '-18'. x = -1.5 Simplifying x = -1.5
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