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Simplifying 10(1 + x) = 11(6x + 6) (1 * 10 + x * 10) = 11(6x + 6) (10 + 10x) = 11(6x + 6) Reorder the terms: 10 + 10x = 11(6 + 6x) 10 + 10x = (6 * 11 + 6x * 11) 10 + 10x = (66 + 66x) Solving 10 + 10x = 66 + 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. 10 + 10x + -66x = 66 + 66x + -66x Combine like terms: 10x + -66x = -56x 10 + -56x = 66 + 66x + -66x Combine like terms: 66x + -66x = 0 10 + -56x = 66 + 0 10 + -56x = 66 Add '-10' to each side of the equation. 10 + -10 + -56x = 66 + -10 Combine like terms: 10 + -10 = 0 0 + -56x = 66 + -10 -56x = 66 + -10 Combine like terms: 66 + -10 = 56 -56x = 56 Divide each side by '-56'. x = -1 Simplifying x = -1
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