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Simplifying 4(x + -6) + 5(x + 9) = 140 Reorder the terms: 4(-6 + x) + 5(x + 9) = 140 (-6 * 4 + x * 4) + 5(x + 9) = 140 (-24 + 4x) + 5(x + 9) = 140 Reorder the terms: -24 + 4x + 5(9 + x) = 140 -24 + 4x + (9 * 5 + x * 5) = 140 -24 + 4x + (45 + 5x) = 140 Reorder the terms: -24 + 45 + 4x + 5x = 140 Combine like terms: -24 + 45 = 21 21 + 4x + 5x = 140 Combine like terms: 4x + 5x = 9x 21 + 9x = 140 Solving 21 + 9x = 140 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9x = 140 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 140 + -21 9x = 140 + -21 Combine like terms: 140 + -21 = 119 9x = 119 Divide each side by '9'. x = 13.22222222 Simplifying x = 13.22222222
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