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Simplifying 4x + 53 = 8x + 13 Reorder the terms: 53 + 4x = 8x + 13 Reorder the terms: 53 + 4x = 13 + 8x Solving 53 + 4x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 53 + 4x + -8x = 13 + 8x + -8x Combine like terms: 4x + -8x = -4x 53 + -4x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 53 + -4x = 13 + 0 53 + -4x = 13 Add '-53' to each side of the equation. 53 + -53 + -4x = 13 + -53 Combine like terms: 53 + -53 = 0 0 + -4x = 13 + -53 -4x = 13 + -53 Combine like terms: 13 + -53 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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