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Simplifying 1(1 + -3x) + 4(2x + -5) = -24 (1 * 1 + -3x * 1) + 4(2x + -5) = -24 (1 + -3x) + 4(2x + -5) = -24 Reorder the terms: 1 + -3x + 4(-5 + 2x) = -24 1 + -3x + (-5 * 4 + 2x * 4) = -24 1 + -3x + (-20 + 8x) = -24 Reorder the terms: 1 + -20 + -3x + 8x = -24 Combine like terms: 1 + -20 = -19 -19 + -3x + 8x = -24 Combine like terms: -3x + 8x = 5x -19 + 5x = -24 Solving -19 + 5x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 5x = -24 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = -24 + 19 5x = -24 + 19 Combine like terms: -24 + 19 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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