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Simplifying 2x + 53 = 3x + 45 Reorder the terms: 53 + 2x = 3x + 45 Reorder the terms: 53 + 2x = 45 + 3x Solving 53 + 2x = 45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 53 + 2x + -3x = 45 + 3x + -3x Combine like terms: 2x + -3x = -1x 53 + -1x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 53 + -1x = 45 + 0 53 + -1x = 45 Add '-53' to each side of the equation. 53 + -53 + -1x = 45 + -53 Combine like terms: 53 + -53 = 0 0 + -1x = 45 + -53 -1x = 45 + -53 Combine like terms: 45 + -53 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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