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Simplifying 2x + -4(2x + -3x) = 5(x + -4) + -24 Combine like terms: 2x + -3x = -1x 2x + -4(-1x) = 5(x + -4) + -24 Remove parenthesis around (-1x) 2x + -4 * -1x = 5(x + -4) + -24 Multiply -4 * -1 2x + 4x = 5(x + -4) + -24 Combine like terms: 2x + 4x = 6x 6x = 5(x + -4) + -24 Reorder the terms: 6x = 5(-4 + x) + -24 6x = (-4 * 5 + x * 5) + -24 6x = (-20 + 5x) + -24 Reorder the terms: 6x = -20 + -24 + 5x Combine like terms: -20 + -24 = -44 6x = -44 + 5x Solving 6x = -44 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6x + -5x = -44 + 5x + -5x Combine like terms: 6x + -5x = 1x 1x = -44 + 5x + -5x Combine like terms: 5x + -5x = 0 1x = -44 + 0 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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