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Simplifying -3(8 + -6x) = 7(2x + 4) (8 * -3 + -6x * -3) = 7(2x + 4) (-24 + 18x) = 7(2x + 4) Reorder the terms: -24 + 18x = 7(4 + 2x) -24 + 18x = (4 * 7 + 2x * 7) -24 + 18x = (28 + 14x) Solving -24 + 18x = 28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -24 + 18x + -14x = 28 + 14x + -14x Combine like terms: 18x + -14x = 4x -24 + 4x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 -24 + 4x = 28 + 0 -24 + 4x = 28 Add '24' to each side of the equation. -24 + 24 + 4x = 28 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 28 + 24 4x = 28 + 24 Combine like terms: 28 + 24 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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