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Simplifying 12(5x + -4) = 6(3x + 6) Reorder the terms: 12(-4 + 5x) = 6(3x + 6) (-4 * 12 + 5x * 12) = 6(3x + 6) (-48 + 60x) = 6(3x + 6) Reorder the terms: -48 + 60x = 6(6 + 3x) -48 + 60x = (6 * 6 + 3x * 6) -48 + 60x = (36 + 18x) Solving -48 + 60x = 36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -48 + 60x + -18x = 36 + 18x + -18x Combine like terms: 60x + -18x = 42x -48 + 42x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 -48 + 42x = 36 + 0 -48 + 42x = 36 Add '48' to each side of the equation. -48 + 48 + 42x = 36 + 48 Combine like terms: -48 + 48 = 0 0 + 42x = 36 + 48 42x = 36 + 48 Combine like terms: 36 + 48 = 84 42x = 84 Divide each side by '42'. x = 2 Simplifying x = 2
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