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Simplifying -8(x + 2) + 9(9 + 2x) = x + -2 + -5 Reorder the terms: -8(2 + x) + 9(9 + 2x) = x + -2 + -5 (2 * -8 + x * -8) + 9(9 + 2x) = x + -2 + -5 (-16 + -8x) + 9(9 + 2x) = x + -2 + -5 -16 + -8x + (9 * 9 + 2x * 9) = x + -2 + -5 -16 + -8x + (81 + 18x) = x + -2 + -5 Reorder the terms: -16 + 81 + -8x + 18x = x + -2 + -5 Combine like terms: -16 + 81 = 65 65 + -8x + 18x = x + -2 + -5 Combine like terms: -8x + 18x = 10x 65 + 10x = x + -2 + -5 Reorder the terms: 65 + 10x = -2 + -5 + x Combine like terms: -2 + -5 = -7 65 + 10x = -7 + x Solving 65 + 10x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 65 + 10x + -1x = -7 + x + -1x Combine like terms: 10x + -1x = 9x 65 + 9x = -7 + x + -1x Combine like terms: x + -1x = 0 65 + 9x = -7 + 0 65 + 9x = -7 Add '-65' to each side of the equation. 65 + -65 + 9x = -7 + -65 Combine like terms: 65 + -65 = 0 0 + 9x = -7 + -65 9x = -7 + -65 Combine like terms: -7 + -65 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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