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Simplifying 2x + -4(4x + -9) = 6(5x + -4) Reorder the terms: 2x + -4(-9 + 4x) = 6(5x + -4) 2x + (-9 * -4 + 4x * -4) = 6(5x + -4) 2x + (36 + -16x) = 6(5x + -4) Reorder the terms: 36 + 2x + -16x = 6(5x + -4) Combine like terms: 2x + -16x = -14x 36 + -14x = 6(5x + -4) Reorder the terms: 36 + -14x = 6(-4 + 5x) 36 + -14x = (-4 * 6 + 5x * 6) 36 + -14x = (-24 + 30x) Solving 36 + -14x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 36 + -14x + -30x = -24 + 30x + -30x Combine like terms: -14x + -30x = -44x 36 + -44x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 36 + -44x = -24 + 0 36 + -44x = -24 Add '-36' to each side of the equation. 36 + -36 + -44x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -44x = -24 + -36 -44x = -24 + -36 Combine like terms: -24 + -36 = -60 -44x = -60 Divide each side by '-44'. x = 1.363636364 Simplifying x = 1.363636364
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