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Simplifying 4(6 + -7x) = 24 + -42x (6 * 4 + -7x * 4) = 24 + -42x (24 + -28x) = 24 + -42x Add '-24' to each side of the equation. 24 + -24 + -28x = 24 + -24 + -42x Combine like terms: 24 + -24 = 0 0 + -28x = 24 + -24 + -42x -28x = 24 + -24 + -42x Combine like terms: 24 + -24 = 0 -28x = 0 + -42x -28x = -42x Solving -28x = -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -28x + 42x = -42x + 42x Combine like terms: -28x + 42x = 14x 14x = -42x + 42x Combine like terms: -42x + 42x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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