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Simplifying 7(5x + -2) = 6(x + -1) Reorder the terms: 7(-2 + 5x) = 6(x + -1) (-2 * 7 + 5x * 7) = 6(x + -1) (-14 + 35x) = 6(x + -1) Reorder the terms: -14 + 35x = 6(-1 + x) -14 + 35x = (-1 * 6 + x * 6) -14 + 35x = (-6 + 6x) Solving -14 + 35x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 35x + -6x = -6 + 6x + -6x Combine like terms: 35x + -6x = 29x -14 + 29x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 29x = -6 + 0 -14 + 29x = -6 Add '14' to each side of the equation. -14 + 14 + 29x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 29x = -6 + 14 29x = -6 + 14 Combine like terms: -6 + 14 = 8 29x = 8 Divide each side by '29'. x = 0.275862069 Simplifying x = 0.275862069
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