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Simplifying 6(7 + x) = 54x + 3 (7 * 6 + x * 6) = 54x + 3 (42 + 6x) = 54x + 3 Reorder the terms: 42 + 6x = 3 + 54x Solving 42 + 6x = 3 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 42 + 6x + -54x = 3 + 54x + -54x Combine like terms: 6x + -54x = -48x 42 + -48x = 3 + 54x + -54x Combine like terms: 54x + -54x = 0 42 + -48x = 3 + 0 42 + -48x = 3 Add '-42' to each side of the equation. 42 + -42 + -48x = 3 + -42 Combine like terms: 42 + -42 = 0 0 + -48x = 3 + -42 -48x = 3 + -42 Combine like terms: 3 + -42 = -39 -48x = -39 Divide each side by '-48'. x = 0.8125 Simplifying x = 0.8125
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