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Simplifying 3(2 + -4(2x + -1)) = 4x + -10 Reorder the terms: 3(2 + -4(-1 + 2x)) = 4x + -10 3(2 + (-1 * -4 + 2x * -4)) = 4x + -10 3(2 + (4 + -8x)) = 4x + -10 Combine like terms: 2 + 4 = 6 3(6 + -8x) = 4x + -10 (6 * 3 + -8x * 3) = 4x + -10 (18 + -24x) = 4x + -10 Reorder the terms: 18 + -24x = -10 + 4x Solving 18 + -24x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + -24x + -4x = -10 + 4x + -4x Combine like terms: -24x + -4x = -28x 18 + -28x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -28x = -10 + 0 18 + -28x = -10 Add '-18' to each side of the equation. 18 + -18 + -28x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -28x = -10 + -18 -28x = -10 + -18 Combine like terms: -10 + -18 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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