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Simplifying 3x + 2 = 7(5x + -8) + -6 Reorder the terms: 2 + 3x = 7(5x + -8) + -6 Reorder the terms: 2 + 3x = 7(-8 + 5x) + -6 2 + 3x = (-8 * 7 + 5x * 7) + -6 2 + 3x = (-56 + 35x) + -6 Reorder the terms: 2 + 3x = -56 + -6 + 35x Combine like terms: -56 + -6 = -62 2 + 3x = -62 + 35x Solving 2 + 3x = -62 + 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. 2 + 3x + -35x = -62 + 35x + -35x Combine like terms: 3x + -35x = -32x 2 + -32x = -62 + 35x + -35x Combine like terms: 35x + -35x = 0 2 + -32x = -62 + 0 2 + -32x = -62 Add '-2' to each side of the equation. 2 + -2 + -32x = -62 + -2 Combine like terms: 2 + -2 = 0 0 + -32x = -62 + -2 -32x = -62 + -2 Combine like terms: -62 + -2 = -64 -32x = -64 Divide each side by '-32'. x = 2 Simplifying x = 2
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