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Simplifying 7(12 + -2x) = 4(-3x) (12 * 7 + -2x * 7) = 4(-3x) (84 + -14x) = 4(-3x) Remove parenthesis around (-3x) 84 + -14x = 4 * -3x Multiply 4 * -3 84 + -14x = -12x Solving 84 + -14x = -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 = -12x + 12x Combine like terms: -14x + 12x = -2x 84 + -2x = -12x + 12x Combine like terms: -12x + 12x = 0 84 + -2x = 0 Add '-84' to each side of the equation. 84 + -84 + -2x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -2x = 0 + -84 -2x = 0 + -84 Combine like terms: 0 + -84 = -84 -2x = -84 Divide each side by '-2'. x = 42 Simplifying x = 42
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