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Simplifying (6x + 53) = (10x + 41) Reorder the terms: (53 + 6x) = (10x + 41) Remove parenthesis around (53 + 6x) 53 + 6x = (10x + 41) Reorder the terms: 53 + 6x = (41 + 10x) Remove parenthesis around (41 + 10x) 53 + 6x = 41 + 10x Solving 53 + 6x = 41 + 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 + 6x + -10x = 41 + 10x + -10x Combine like terms: 6x + -10x = -4x 53 + -4x = 41 + 10x + -10x Combine like terms: 10x + -10x = 0 53 + -4x = 41 + 0 53 + -4x = 41 Add '-53' to each side of the equation. 53 + -53 + -4x = 41 + -53 Combine like terms: 53 + -53 = 0 0 + -4x = 41 + -53 -4x = 41 + -53 Combine like terms: 41 + -53 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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