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Simplifying (6x + -3) + -1(5x + 17) = 18 Reorder the terms: (-3 + 6x) + -1(5x + 17) = 18 Remove parenthesis around (-3 + 6x) -3 + 6x + -1(5x + 17) = 18 Reorder the terms: -3 + 6x + -1(17 + 5x) = 18 -3 + 6x + (17 * -1 + 5x * -1) = 18 -3 + 6x + (-17 + -5x) = 18 Reorder the terms: -3 + -17 + 6x + -5x = 18 Combine like terms: -3 + -17 = -20 -20 + 6x + -5x = 18 Combine like terms: 6x + -5x = 1x -20 + 1x = 18 Solving -20 + 1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 18 + 20 1x = 18 + 20 Combine like terms: 18 + 20 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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