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Simplifying 5(2x + 6) + 3(6x + 7) = x Reorder the terms: 5(6 + 2x) + 3(6x + 7) = x (6 * 5 + 2x * 5) + 3(6x + 7) = x (30 + 10x) + 3(6x + 7) = x Reorder the terms: 30 + 10x + 3(7 + 6x) = x 30 + 10x + (7 * 3 + 6x * 3) = x 30 + 10x + (21 + 18x) = x Reorder the terms: 30 + 21 + 10x + 18x = x Combine like terms: 30 + 21 = 51 51 + 10x + 18x = x Combine like terms: 10x + 18x = 28x 51 + 28x = x Solving 51 + 28x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 51 + 28x + -1x = x + -1x Combine like terms: 28x + -1x = 27x 51 + 27x = x + -1x Combine like terms: x + -1x = 0 51 + 27x = 0 Add '-51' to each side of the equation. 51 + -51 + 27x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 27x = 0 + -51 27x = 0 + -51 Combine like terms: 0 + -51 = -51 27x = -51 Divide each side by '27'. x = -1.888888889 Simplifying x = -1.888888889
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