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Simplifying 7(2x + -4) = 12x + -24 Reorder the terms: 7(-4 + 2x) = 12x + -24 (-4 * 7 + 2x * 7) = 12x + -24 (-28 + 14x) = 12x + -24 Reorder the terms: -28 + 14x = -24 + 12x Solving -28 + 14x = -24 + 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. -28 + 14x + -12x = -24 + 12x + -12x Combine like terms: 14x + -12x = 2x -28 + 2x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -28 + 2x = -24 + 0 -28 + 2x = -24 Add '28' to each side of the equation. -28 + 28 + 2x = -24 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -24 + 28 2x = -24 + 28 Combine like terms: -24 + 28 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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