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Simplifying 2 + 4(5x + -6) = 6 + -3(2x + 1) Reorder the terms: 2 + 4(-6 + 5x) = 6 + -3(2x + 1) 2 + (-6 * 4 + 5x * 4) = 6 + -3(2x + 1) 2 + (-24 + 20x) = 6 + -3(2x + 1) Combine like terms: 2 + -24 = -22 -22 + 20x = 6 + -3(2x + 1) Reorder the terms: -22 + 20x = 6 + -3(1 + 2x) -22 + 20x = 6 + (1 * -3 + 2x * -3) -22 + 20x = 6 + (-3 + -6x) Combine like terms: 6 + -3 = 3 -22 + 20x = 3 + -6x Solving -22 + 20x = 3 + -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. -22 + 20x + 6x = 3 + -6x + 6x Combine like terms: 20x + 6x = 26x -22 + 26x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -22 + 26x = 3 + 0 -22 + 26x = 3 Add '22' to each side of the equation. -22 + 22 + 26x = 3 + 22 Combine like terms: -22 + 22 = 0 0 + 26x = 3 + 22 26x = 3 + 22 Combine like terms: 3 + 22 = 25 26x = 25 Divide each side by '26'. x = 0.9615384615 Simplifying x = 0.9615384615
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