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Simplifying (17x + -4) + (19) + (10x + -3) = 52 Reorder the terms: (-4 + 17x) + (19) + (10x + -3) = 52 Remove parenthesis around (-4 + 17x) -4 + 17x + (19) + (10x + -3) = 52 -4 + 17x + 19 + (10x + -3) = 52 Reorder the terms: -4 + 17x + 19 + (-3 + 10x) = 52 Remove parenthesis around (-3 + 10x) -4 + 17x + 19 + -3 + 10x = 52 Reorder the terms: -4 + 19 + -3 + 17x + 10x = 52 Combine like terms: -4 + 19 = 15 15 + -3 + 17x + 10x = 52 Combine like terms: 15 + -3 = 12 12 + 17x + 10x = 52 Combine like terms: 17x + 10x = 27x 12 + 27x = 52 Solving 12 + 27x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 27x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 27x = 52 + -12 27x = 52 + -12 Combine like terms: 52 + -12 = 40 27x = 40 Divide each side by '27'. x = 1.481481481 Simplifying x = 1.481481481
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