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Simplifying 6(4x + -8) = 3(12x + 6) Reorder the terms: 6(-8 + 4x) = 3(12x + 6) (-8 * 6 + 4x * 6) = 3(12x + 6) (-48 + 24x) = 3(12x + 6) Reorder the terms: -48 + 24x = 3(6 + 12x) -48 + 24x = (6 * 3 + 12x * 3) -48 + 24x = (18 + 36x) Solving -48 + 24x = 18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -48 + 24x + -36x = 18 + 36x + -36x Combine like terms: 24x + -36x = -12x -48 + -12x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 -48 + -12x = 18 + 0 -48 + -12x = 18 Add '48' to each side of the equation. -48 + 48 + -12x = 18 + 48 Combine like terms: -48 + 48 = 0 0 + -12x = 18 + 48 -12x = 18 + 48 Combine like terms: 18 + 48 = 66 -12x = 66 Divide each side by '-12'. x = -5.5 Simplifying x = -5.5
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