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Simplifying 7(2x + -4) = 6x + 12 Reorder the terms: 7(-4 + 2x) = 6x + 12 (-4 * 7 + 2x * 7) = 6x + 12 (-28 + 14x) = 6x + 12 Reorder the terms: -28 + 14x = 12 + 6x Solving -28 + 14x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 14x + -6x = 12 + 6x + -6x Combine like terms: 14x + -6x = 8x -28 + 8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 8x = 12 + 0 -28 + 8x = 12 Add '28' to each side of the equation. -28 + 28 + 8x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 12 + 28 8x = 12 + 28 Combine like terms: 12 + 28 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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