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Simplifying (7x + -4) + (19) + (10x + 3) = 52 Reorder the terms: (-4 + 7x) + (19) + (10x + 3) = 52 Remove parenthesis around (-4 + 7x) -4 + 7x + (19) + (10x + 3) = 52 -4 + 7x + 19 + (10x + 3) = 52 Reorder the terms: -4 + 7x + 19 + (3 + 10x) = 52 Remove parenthesis around (3 + 10x) -4 + 7x + 19 + 3 + 10x = 52 Reorder the terms: -4 + 19 + 3 + 7x + 10x = 52 Combine like terms: -4 + 19 = 15 15 + 3 + 7x + 10x = 52 Combine like terms: 15 + 3 = 18 18 + 7x + 10x = 52 Combine like terms: 7x + 10x = 17x 18 + 17x = 52 Solving 18 + 17x = 52 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 + 17x = 52 + -18 Combine like terms: 18 + -18 = 0 0 + 17x = 52 + -18 17x = 52 + -18 Combine like terms: 52 + -18 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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