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Simplifying 8(x + -4) + -2(3x + -9) = -3x + -24 Reorder the terms: 8(-4 + x) + -2(3x + -9) = -3x + -24 (-4 * 8 + x * 8) + -2(3x + -9) = -3x + -24 (-32 + 8x) + -2(3x + -9) = -3x + -24 Reorder the terms: -32 + 8x + -2(-9 + 3x) = -3x + -24 -32 + 8x + (-9 * -2 + 3x * -2) = -3x + -24 -32 + 8x + (18 + -6x) = -3x + -24 Reorder the terms: -32 + 18 + 8x + -6x = -3x + -24 Combine like terms: -32 + 18 = -14 -14 + 8x + -6x = -3x + -24 Combine like terms: 8x + -6x = 2x -14 + 2x = -3x + -24 Reorder the terms: -14 + 2x = -24 + -3x Solving -14 + 2x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 2x + 3x = -24 + -3x + 3x Combine like terms: 2x + 3x = 5x -14 + 5x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 5x = -24 + 0 -14 + 5x = -24 Add '14' to each side of the equation. -14 + 14 + 5x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -24 + 14 5x = -24 + 14 Combine like terms: -24 + 14 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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