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Simplifying 3(-4x + -6) = 3(-7x + 4) Reorder the terms: 3(-6 + -4x) = 3(-7x + 4) (-6 * 3 + -4x * 3) = 3(-7x + 4) (-18 + -12x) = 3(-7x + 4) Reorder the terms: -18 + -12x = 3(4 + -7x) -18 + -12x = (4 * 3 + -7x * 3) -18 + -12x = (12 + -21x) Solving -18 + -12x = 12 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -18 + -12x + 21x = 12 + -21x + 21x Combine like terms: -12x + 21x = 9x -18 + 9x = 12 + -21x + 21x Combine like terms: -21x + 21x = 0 -18 + 9x = 12 + 0 -18 + 9x = 12 Add '18' to each side of the equation. -18 + 18 + 9x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 12 + 18 9x = 12 + 18 Combine like terms: 12 + 18 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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