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Simplifying 5x + 75 = 2x + 54 Reorder the terms: 75 + 5x = 2x + 54 Reorder the terms: 75 + 5x = 54 + 2x Solving 75 + 5x = 54 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 75 + 5x + -2x = 54 + 2x + -2x Combine like terms: 5x + -2x = 3x 75 + 3x = 54 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + 3x = 54 + 0 75 + 3x = 54 Add '-75' to each side of the equation. 75 + -75 + 3x = 54 + -75 Combine like terms: 75 + -75 = 0 0 + 3x = 54 + -75 3x = 54 + -75 Combine like terms: 54 + -75 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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