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Simplifying 3x + -6 = 7(5x + -2) Reorder the terms: -6 + 3x = 7(5x + -2) Reorder the terms: -6 + 3x = 7(-2 + 5x) -6 + 3x = (-2 * 7 + 5x * 7) -6 + 3x = (-14 + 35x) Solving -6 + 3x = -14 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -6 + 3x + -35x = -14 + 35x + -35x Combine like terms: 3x + -35x = -32x -6 + -32x = -14 + 35x + -35x Combine like terms: 35x + -35x = 0 -6 + -32x = -14 + 0 -6 + -32x = -14 Add '6' to each side of the equation. -6 + 6 + -32x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -32x = -14 + 6 -32x = -14 + 6 Combine like terms: -14 + 6 = -8 -32x = -8 Divide each side by '-32'. x = 0.25 Simplifying x = 0.25
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