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Simplifying 2(3 + -4x) = 10 + -2x (3 * 2 + -4x * 2) = 10 + -2x (6 + -8x) = 10 + -2x Solving 6 + -8x = 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 + -8x + 2x = 10 + -2x + 2x Combine like terms: -8x + 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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