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Simplifying 3x + -1(7x + -6) = 2x + 10 Reorder the terms: 3x + -1(-6 + 7x) = 2x + 10 3x + (-6 * -1 + 7x * -1) = 2x + 10 3x + (6 + -7x) = 2x + 10 Reorder the terms: 6 + 3x + -7x = 2x + 10 Combine like terms: 3x + -7x = -4x 6 + -4x = 2x + 10 Reorder the terms: 6 + -4x = 10 + 2x Solving 6 + -4x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -4x + -2x = 10 + 2x + -2x Combine like terms: -4x + -2x = -6x 6 + -6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -6x = 10 + 0 6 + -6x = 10 Add '-6' to each side of the equation. 6 + -6 + -6x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 10 + -6 -6x = 10 + -6 Combine like terms: 10 + -6 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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