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Simplifying 5(x + 7) + -8(x + 9) = 99 Reorder the terms: 5(7 + x) + -8(x + 9) = 99 (7 * 5 + x * 5) + -8(x + 9) = 99 (35 + 5x) + -8(x + 9) = 99 Reorder the terms: 35 + 5x + -8(9 + x) = 99 35 + 5x + (9 * -8 + x * -8) = 99 35 + 5x + (-72 + -8x) = 99 Reorder the terms: 35 + -72 + 5x + -8x = 99 Combine like terms: 35 + -72 = -37 -37 + 5x + -8x = 99 Combine like terms: 5x + -8x = -3x -37 + -3x = 99 Solving -37 + -3x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -3x = 99 + 37 Combine like terms: -37 + 37 = 0 0 + -3x = 99 + 37 -3x = 99 + 37 Combine like terms: 99 + 37 = 136 -3x = 136 Divide each side by '-3'. x = -45.33333333 Simplifying x = -45.33333333
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