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Simplifying (6x + 42) = (10x + 6) Reorder the terms: (42 + 6x) = (10x + 6) Remove parenthesis around (42 + 6x) 42 + 6x = (10x + 6) Reorder the terms: 42 + 6x = (6 + 10x) Remove parenthesis around (6 + 10x) 42 + 6x = 6 + 10x Solving 42 + 6x = 6 + 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. 42 + 6x + -10x = 6 + 10x + -10x Combine like terms: 6x + -10x = -4x 42 + -4x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 42 + -4x = 6 + 0 42 + -4x = 6 Add '-42' to each side of the equation. 42 + -42 + -4x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 6 + -42 -4x = 6 + -42 Combine like terms: 6 + -42 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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