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Simplifying 2(1 + -3x) + 4(2x + -5) = -24 (1 * 2 + -3x * 2) + 4(2x + -5) = -24 (2 + -6x) + 4(2x + -5) = -24 Reorder the terms: 2 + -6x + 4(-5 + 2x) = -24 2 + -6x + (-5 * 4 + 2x * 4) = -24 2 + -6x + (-20 + 8x) = -24 Reorder the terms: 2 + -20 + -6x + 8x = -24 Combine like terms: 2 + -20 = -18 -18 + -6x + 8x = -24 Combine like terms: -6x + 8x = 2x -18 + 2x = -24 Solving -18 + 2x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -24 + 18 2x = -24 + 18 Combine like terms: -24 + 18 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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