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Simplifying 4(3x + -6) = 8(x + 1) Reorder the terms: 4(-6 + 3x) = 8(x + 1) (-6 * 4 + 3x * 4) = 8(x + 1) (-24 + 12x) = 8(x + 1) Reorder the terms: -24 + 12x = 8(1 + x) -24 + 12x = (1 * 8 + x * 8) -24 + 12x = (8 + 8x) Solving -24 + 12x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 12x + -8x = 8 + 8x + -8x Combine like terms: 12x + -8x = 4x -24 + 4x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 4x = 8 + 0 -24 + 4x = 8 Add '24' to each side of the equation. -24 + 24 + 4x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 8 + 24 4x = 8 + 24 Combine like terms: 8 + 24 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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