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Simplifying 7x + -52 = 10x + 59 Reorder the terms: -52 + 7x = 10x + 59 Reorder the terms: -52 + 7x = 59 + 10x Solving -52 + 7x = 59 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -52 + 7x + -10x = 59 + 10x + -10x Combine like terms: 7x + -10x = -3x -52 + -3x = 59 + 10x + -10x Combine like terms: 10x + -10x = 0 -52 + -3x = 59 + 0 -52 + -3x = 59 Add '52' to each side of the equation. -52 + 52 + -3x = 59 + 52 Combine like terms: -52 + 52 = 0 0 + -3x = 59 + 52 -3x = 59 + 52 Combine like terms: 59 + 52 = 111 -3x = 111 Divide each side by '-3'. x = -37 Simplifying x = -37
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