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Simplifying 5(2 + -6x + -5x) + 6(9x + 3) = 18 Combine like terms: -6x + -5x = -11x 5(2 + -11x) + 6(9x + 3) = 18 (2 * 5 + -11x * 5) + 6(9x + 3) = 18 (10 + -55x) + 6(9x + 3) = 18 Reorder the terms: 10 + -55x + 6(3 + 9x) = 18 10 + -55x + (3 * 6 + 9x * 6) = 18 10 + -55x + (18 + 54x) = 18 Reorder the terms: 10 + 18 + -55x + 54x = 18 Combine like terms: 10 + 18 = 28 28 + -55x + 54x = 18 Combine like terms: -55x + 54x = -1x 28 + -1x = 18 Solving 28 + -1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 18 + -28 -1x = 18 + -28 Combine like terms: 18 + -28 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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