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Simplifying x * 4 + 52 = x * 7 + -8 Reorder the terms for easier multiplication: 4x + 52 = x * 7 + -8 Reorder the terms: 52 + 4x = x * 7 + -8 Reorder the terms for easier multiplication: 52 + 4x = 7x + -8 Reorder the terms: 52 + 4x = -8 + 7x Solving 52 + 4x = -8 + 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 + 4x + -7x = -8 + 7x + -7x Combine like terms: 4x + -7x = -3x 52 + -3x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -3x = -8 + 0 52 + -3x = -8 Add '-52' to each side of the equation. 52 + -52 + -3x = -8 + -52 Combine like terms: 52 + -52 = 0 0 + -3x = -8 + -52 -3x = -8 + -52 Combine like terms: -8 + -52 = -60 -3x = -60 Divide each side by '-3'. x = 20 Simplifying x = 20
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