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Simplifying 6(22x + -4) = 3(4x + 8) Reorder the terms: 6(-4 + 22x) = 3(4x + 8) (-4 * 6 + 22x * 6) = 3(4x + 8) (-24 + 132x) = 3(4x + 8) Reorder the terms: -24 + 132x = 3(8 + 4x) -24 + 132x = (8 * 3 + 4x * 3) -24 + 132x = (24 + 12x) Solving -24 + 132x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 132x + -12x = 24 + 12x + -12x Combine like terms: 132x + -12x = 120x -24 + 120x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 120x = 24 + 0 -24 + 120x = 24 Add '24' to each side of the equation. -24 + 24 + 120x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 120x = 24 + 24 120x = 24 + 24 Combine like terms: 24 + 24 = 48 120x = 48 Divide each side by '120'. x = 0.4 Simplifying x = 0.4
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