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Simplifying 5(1 + x) = 6(2 + x) (1 * 5 + x * 5) = 6(2 + x) (5 + 5x) = 6(2 + x) 5 + 5x = (2 * 6 + x * 6) 5 + 5x = (12 + 6x) Solving 5 + 5x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x 5 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -1x = 12 + 0 5 + -1x = 12 Add '-5' to each side of the equation. 5 + -5 + -1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 12 + -5 -1x = 12 + -5 Combine like terms: 12 + -5 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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