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Simplifying 10 + x + 8(x + 8) = 9x + x + 11(9) Reorder the terms: 10 + x + 8(8 + x) = 9x + x + 11(9) 10 + x + (8 * 8 + x * 8) = 9x + x + 11(9) 10 + x + (64 + 8x) = 9x + x + 11(9) Reorder the terms: 10 + 64 + x + 8x = 9x + x + 11(9) Combine like terms: 10 + 64 = 74 74 + x + 8x = 9x + x + 11(9) Combine like terms: x + 8x = 9x 74 + 9x = 9x + x + 11(9) Multiply 11 * 9 74 + 9x = 9x + x + 99 Reorder the terms: 74 + 9x = 99 + 9x + x Combine like terms: 9x + x = 10x 74 + 9x = 99 + 10x Solving 74 + 9x = 99 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 74 + 9x + -10x = 99 + 10x + -10x Combine like terms: 9x + -10x = -1x 74 + -1x = 99 + 10x + -10x Combine like terms: 10x + -10x = 0 74 + -1x = 99 + 0 74 + -1x = 99 Add '-74' to each side of the equation. 74 + -74 + -1x = 99 + -74 Combine like terms: 74 + -74 = 0 0 + -1x = 99 + -74 -1x = 99 + -74 Combine like terms: 99 + -74 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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