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Simplifying 8x + 53 = 3x + 13 Reorder the terms: 53 + 8x = 3x + 13 Reorder the terms: 53 + 8x = 13 + 3x Solving 53 + 8x = 13 + 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 + 8x + -3x = 13 + 3x + -3x Combine like terms: 8x + -3x = 5x 53 + 5x = 13 + 3x + -3x Combine like terms: 3x + -3x = 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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