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Simplifying 7(5x + -2) = 6(6x + -1) + -4 Reorder the terms: 7(-2 + 5x) = 6(6x + -1) + -4 (-2 * 7 + 5x * 7) = 6(6x + -1) + -4 (-14 + 35x) = 6(6x + -1) + -4 Reorder the terms: -14 + 35x = 6(-1 + 6x) + -4 -14 + 35x = (-1 * 6 + 6x * 6) + -4 -14 + 35x = (-6 + 36x) + -4 Reorder the terms: -14 + 35x = -6 + -4 + 36x Combine like terms: -6 + -4 = -10 -14 + 35x = -10 + 36x Solving -14 + 35x = -10 + 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 = -10 + 36x + -36x Combine like terms: 35x + -36x = -1x -14 + -1x = -10 + 36x + -36x Combine like terms: 36x + -36x = 0 -14 + -1x = -10 + 0 -14 + -1x = -10 Add '14' to each side of the equation. -14 + 14 + -1x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -10 + 14 -1x = -10 + 14 Combine like terms: -10 + 14 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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