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Simplifying 7(12 + -2x) = 4(3 + -3x) (12 * 7 + -2x * 7) = 4(3 + -3x) (84 + -14x) = 4(3 + -3x) 84 + -14x = (3 * 4 + -3x * 4) 84 + -14x = (12 + -12x) Solving 84 + -14x = 12 + -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. 84 + -14x + 12x = 12 + -12x + 12x Combine like terms: -14x + 12x = -2x 84 + -2x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 84 + -2x = 12 + 0 84 + -2x = 12 Add '-84' to each side of the equation. 84 + -84 + -2x = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -2x = 12 + -84 -2x = 12 + -84 Combine like terms: 12 + -84 = -72 -2x = -72 Divide each side by '-2'. x = 36 Simplifying x = 36
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