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Simplifying 52 = 7x + -4 + 19 + 10x + 3 Reorder the terms: 52 = -4 + 19 + 3 + 7x + 10x Combine like terms: -4 + 19 = 15 52 = 15 + 3 + 7x + 10x Combine like terms: 15 + 3 = 18 52 = 18 + 7x + 10x Combine like terms: 7x + 10x = 17x 52 = 18 + 17x Solving 52 = 18 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 52 + -17x = 18 + 17x + -17x Combine like terms: 17x + -17x = 0 52 + -17x = 18 + 0 52 + -17x = 18 Add '-52' to each side of the equation. 52 + -52 + -17x = 18 + -52 Combine like terms: 52 + -52 = 0 0 + -17x = 18 + -52 -17x = 18 + -52 Combine like terms: 18 + -52 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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