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Simplifying -9(x + 2) + 2x + 5 = 8x + 9 Reorder the terms: -9(2 + x) + 2x + 5 = 8x + 9 (2 * -9 + x * -9) + 2x + 5 = 8x + 9 (-18 + -9x) + 2x + 5 = 8x + 9 Reorder the terms: -18 + 5 + -9x + 2x = 8x + 9 Combine like terms: -18 + 5 = -13 -13 + -9x + 2x = 8x + 9 Combine like terms: -9x + 2x = -7x -13 + -7x = 8x + 9 Reorder the terms: -13 + -7x = 9 + 8x Solving -13 + -7x = 9 + 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. -13 + -7x + -8x = 9 + 8x + -8x Combine like terms: -7x + -8x = -15x -13 + -15x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -15x = 9 + 0 -13 + -15x = 9 Add '13' to each side of the equation. -13 + 13 + -15x = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -15x = 9 + 13 -15x = 9 + 13 Combine like terms: 9 + 13 = 22 -15x = 22 Divide each side by '-15'. x = -1.466666667 Simplifying x = -1.466666667
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