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Simplifying 3(6x + -4) = 4(3x + 9) Reorder the terms: 3(-4 + 6x) = 4(3x + 9) (-4 * 3 + 6x * 3) = 4(3x + 9) (-12 + 18x) = 4(3x + 9) Reorder the terms: -12 + 18x = 4(9 + 3x) -12 + 18x = (9 * 4 + 3x * 4) -12 + 18x = (36 + 12x) Solving -12 + 18x = 36 + 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. -12 + 18x + -12x = 36 + 12x + -12x Combine like terms: 18x + -12x = 6x -12 + 6x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 6x = 36 + 0 -12 + 6x = 36 Add '12' to each side of the equation. -12 + 12 + 6x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 36 + 12 6x = 36 + 12 Combine like terms: 36 + 12 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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