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Simplifying 5x + 53 = 10x + 13 Reorder the terms: 53 + 5x = 10x + 13 Reorder the terms: 53 + 5x = 13 + 10x Solving 53 + 5x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 53 + 5x + -10x = 13 + 10x + -10x Combine like terms: 5x + -10x = -5x 53 + -5x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 53 + -5x = 13 + 0 53 + -5x = 13 Add '-53' to each side of the equation. 53 + -53 + -5x = 13 + -53 Combine like terms: 53 + -53 = 0 0 + -5x = 13 + -53 -5x = 13 + -53 Combine like terms: 13 + -53 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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