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Simplifying 5x + 52 = 7x + -6 Reorder the terms: 52 + 5x = 7x + -6 Reorder the terms: 52 + 5x = -6 + 7x Solving 52 + 5x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 52 + 5x + -7x = -6 + 7x + -7x Combine like terms: 5x + -7x = -2x 52 + -2x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -2x = -6 + 0 52 + -2x = -6 Add '-52' to each side of the equation. 52 + -52 + -2x = -6 + -52 Combine like terms: 52 + -52 = 0 0 + -2x = -6 + -52 -2x = -6 + -52 Combine like terms: -6 + -52 = -58 -2x = -58 Divide each side by '-2'. x = 29 Simplifying x = 29
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