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Simplifying 5x + 45 = 2x + 102 Reorder the terms: 45 + 5x = 2x + 102 Reorder the terms: 45 + 5x = 102 + 2x Solving 45 + 5x = 102 + 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. 45 + 5x + -2x = 102 + 2x + -2x Combine like terms: 5x + -2x = 3x 45 + 3x = 102 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 3x = 102 + 0 45 + 3x = 102 Add '-45' to each side of the equation. 45 + -45 + 3x = 102 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 102 + -45 3x = 102 + -45 Combine like terms: 102 + -45 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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