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Simplifying 9(x + 1) + -8(x + 2) = 2x Reorder the terms: 9(1 + x) + -8(x + 2) = 2x (1 * 9 + x * 9) + -8(x + 2) = 2x (9 + 9x) + -8(x + 2) = 2x Reorder the terms: 9 + 9x + -8(2 + x) = 2x 9 + 9x + (2 * -8 + x * -8) = 2x 9 + 9x + (-16 + -8x) = 2x Reorder the terms: 9 + -16 + 9x + -8x = 2x Combine like terms: 9 + -16 = -7 -7 + 9x + -8x = 2x Combine like terms: 9x + -8x = 1x -7 + 1x = 2x Solving -7 + 1x = 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. -7 + 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -7 + -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -1x = 0 Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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