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Simplifying 6(x + 8) + -9(x + -5) = 0 Reorder the terms: 6(8 + x) + -9(x + -5) = 0 (8 * 6 + x * 6) + -9(x + -5) = 0 (48 + 6x) + -9(x + -5) = 0 Reorder the terms: 48 + 6x + -9(-5 + x) = 0 48 + 6x + (-5 * -9 + x * -9) = 0 48 + 6x + (45 + -9x) = 0 Reorder the terms: 48 + 45 + 6x + -9x = 0 Combine like terms: 48 + 45 = 93 93 + 6x + -9x = 0 Combine like terms: 6x + -9x = -3x 93 + -3x = 0 Solving 93 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-93' to each side of the equation. 93 + -93 + -3x = 0 + -93 Combine like terms: 93 + -93 = 0 0 + -3x = 0 + -93 -3x = 0 + -93 Combine like terms: 0 + -93 = -93 -3x = -93 Divide each side by '-3'. x = 31 Simplifying x = 31
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