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Simplifying 5x + -2(4x + -9) = 5 + 5(2 + -1c) Reorder the terms: 5x + -2(-9 + 4x) = 5 + 5(2 + -1c) 5x + (-9 * -2 + 4x * -2) = 5 + 5(2 + -1c) 5x + (18 + -8x) = 5 + 5(2 + -1c) Reorder the terms: 18 + 5x + -8x = 5 + 5(2 + -1c) Combine like terms: 5x + -8x = -3x 18 + -3x = 5 + 5(2 + -1c) 18 + -3x = 5 + (2 * 5 + -1c * 5) 18 + -3x = 5 + (10 + -5c) Combine like terms: 5 + 10 = 15 18 + -3x = 15 + -5c Solving 18 + -3x = 15 + -5c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -3x = 15 + -18 + -5c Combine like terms: 18 + -18 = 0 0 + -3x = 15 + -18 + -5c -3x = 15 + -18 + -5c Combine like terms: 15 + -18 = -3 -3x = -3 + -5c Divide each side by '-3'. x = 1 + 1.666666667c Simplifying x = 1 + 1.666666667c
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