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Simplifying x * 3 + 52 = x * 7 + -12 Reorder the terms for easier multiplication: 3x + 52 = x * 7 + -12 Reorder the terms: 52 + 3x = x * 7 + -12 Reorder the terms for easier multiplication: 52 + 3x = 7x + -12 Reorder the terms: 52 + 3x = -12 + 7x Solving 52 + 3x = -12 + 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 + 3x + -7x = -12 + 7x + -7x Combine like terms: 3x + -7x = -4x 52 + -4x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -4x = -12 + 0 52 + -4x = -12 Add '-52' to each side of the equation. 52 + -52 + -4x = -12 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = -12 + -52 -4x = -12 + -52 Combine like terms: -12 + -52 = -64 -4x = -64 Divide each side by '-4'. x = 16 Simplifying x = 16
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