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Simplifying 3x + 8(x + -4) = 3(x + -8) Reorder the terms: 3x + 8(-4 + x) = 3(x + -8) 3x + (-4 * 8 + x * 8) = 3(x + -8) 3x + (-32 + 8x) = 3(x + -8) Reorder the terms: -32 + 3x + 8x = 3(x + -8) Combine like terms: 3x + 8x = 11x -32 + 11x = 3(x + -8) Reorder the terms: -32 + 11x = 3(-8 + x) -32 + 11x = (-8 * 3 + x * 3) -32 + 11x = (-24 + 3x) Solving -32 + 11x = -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 + 11x + -3x = -24 + 3x + -3x Combine like terms: 11x + -3x = 8x -32 + 8x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 8x = -24 + 0 -32 + 8x = -24 Add '32' to each side of the equation. -32 + 32 + 8x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = -24 + 32 8x = -24 + 32 Combine like terms: -24 + 32 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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