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Simplifying 3(4x + -8) = -7(2x + -9) Reorder the terms: 3(-8 + 4x) = -7(2x + -9) (-8 * 3 + 4x * 3) = -7(2x + -9) (-24 + 12x) = -7(2x + -9) Reorder the terms: -24 + 12x = -7(-9 + 2x) -24 + 12x = (-9 * -7 + 2x * -7) -24 + 12x = (63 + -14x) Solving -24 + 12x = 63 + -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 + 12x + 14x = 63 + -14x + 14x Combine like terms: 12x + 14x = 26x -24 + 26x = 63 + -14x + 14x Combine like terms: -14x + 14x = 0 -24 + 26x = 63 + 0 -24 + 26x = 63 Add '24' to each side of the equation. -24 + 24 + 26x = 63 + 24 Combine like terms: -24 + 24 = 0 0 + 26x = 63 + 24 26x = 63 + 24 Combine like terms: 63 + 24 = 87 26x = 87 Divide each side by '26'. x = 3.346153846 Simplifying x = 3.346153846
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