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Simplifying 3(x + -6) = 4(2x + -8) Reorder the terms: 3(-6 + x) = 4(2x + -8) (-6 * 3 + x * 3) = 4(2x + -8) (-18 + 3x) = 4(2x + -8) Reorder the terms: -18 + 3x = 4(-8 + 2x) -18 + 3x = (-8 * 4 + 2x * 4) -18 + 3x = (-32 + 8x) Solving -18 + 3x = -32 + 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. -18 + 3x + -8x = -32 + 8x + -8x Combine like terms: 3x + -8x = -5x -18 + -5x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -5x = -32 + 0 -18 + -5x = -32 Add '18' to each side of the equation. -18 + 18 + -5x = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -32 + 18 -5x = -32 + 18 Combine like terms: -32 + 18 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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