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Simplifying -14(3x + 6) = 12(6 + -4x) + 12 Reorder the terms: -14(6 + 3x) = 12(6 + -4x) + 12 (6 * -14 + 3x * -14) = 12(6 + -4x) + 12 (-84 + -42x) = 12(6 + -4x) + 12 -84 + -42x = (6 * 12 + -4x * 12) + 12 -84 + -42x = (72 + -48x) + 12 Reorder the terms: -84 + -42x = 72 + 12 + -48x Combine like terms: 72 + 12 = 84 -84 + -42x = 84 + -48x Solving -84 + -42x = 84 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -84 + -42x + 48x = 84 + -48x + 48x Combine like terms: -42x + 48x = 6x -84 + 6x = 84 + -48x + 48x Combine like terms: -48x + 48x = 0 -84 + 6x = 84 + 0 -84 + 6x = 84 Add '84' to each side of the equation. -84 + 84 + 6x = 84 + 84 Combine like terms: -84 + 84 = 0 0 + 6x = 84 + 84 6x = 84 + 84 Combine like terms: 84 + 84 = 168 6x = 168 Divide each side by '6'. x = 28 Simplifying x = 28
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