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Simplifying 3x + -8(x + 4) = 3(-1x + -8) Reorder the terms: 3x + -8(4 + x) = 3(-1x + -8) 3x + (4 * -8 + x * -8) = 3(-1x + -8) 3x + (-32 + -8x) = 3(-1x + -8) Reorder the terms: -32 + 3x + -8x = 3(-1x + -8) Combine like terms: 3x + -8x = -5x -32 + -5x = 3(-1x + -8) Reorder the terms: -32 + -5x = 3(-8 + -1x) -32 + -5x = (-8 * 3 + -1x * 3) -32 + -5x = (-24 + -3x) Solving -32 + -5x = -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. -32 + -5x + 3x = -24 + -3x + 3x Combine like terms: -5x + 3x = -2x -32 + -2x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + -2x = -24 + 0 -32 + -2x = -24 Add '32' to each side of the equation. -32 + 32 + -2x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -24 + 32 -2x = -24 + 32 Combine like terms: -24 + 32 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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