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Simplifying 6(5x + 1) + 7(2x + 6) = 136 Reorder the terms: 6(1 + 5x) + 7(2x + 6) = 136 (1 * 6 + 5x * 6) + 7(2x + 6) = 136 (6 + 30x) + 7(2x + 6) = 136 Reorder the terms: 6 + 30x + 7(6 + 2x) = 136 6 + 30x + (6 * 7 + 2x * 7) = 136 6 + 30x + (42 + 14x) = 136 Reorder the terms: 6 + 42 + 30x + 14x = 136 Combine like terms: 6 + 42 = 48 48 + 30x + 14x = 136 Combine like terms: 30x + 14x = 44x 48 + 44x = 136 Solving 48 + 44x = 136 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 44x = 136 + -48 Combine like terms: 48 + -48 = 0 0 + 44x = 136 + -48 44x = 136 + -48 Combine like terms: 136 + -48 = 88 44x = 88 Divide each side by '44'. x = 2 Simplifying x = 2
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