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Simplifying 7(5x + 2) = 6(6x + -1) Reorder the terms: 7(2 + 5x) = 6(6x + -1) (2 * 7 + 5x * 7) = 6(6x + -1) (14 + 35x) = 6(6x + -1) Reorder the terms: 14 + 35x = 6(-1 + 6x) 14 + 35x = (-1 * 6 + 6x * 6) 14 + 35x = (-6 + 36x) Solving 14 + 35x = -6 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 14 + 35x + -36x = -6 + 36x + -36x Combine like terms: 35x + -36x = -1x 14 + -1x = -6 + 36x + -36x Combine like terms: 36x + -36x = 0 14 + -1x = -6 + 0 14 + -1x = -6 Add '-14' to each side of the equation. 14 + -14 + -1x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -6 + -14 -1x = -6 + -14 Combine like terms: -6 + -14 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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