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Simplifying 3 + 4(5x + -6) = 6 + -3(2x + 1) Reorder the terms: 3 + 4(-6 + 5x) = 6 + -3(2x + 1) 3 + (-6 * 4 + 5x * 4) = 6 + -3(2x + 1) 3 + (-24 + 20x) = 6 + -3(2x + 1) Combine like terms: 3 + -24 = -21 -21 + 20x = 6 + -3(2x + 1) Reorder the terms: -21 + 20x = 6 + -3(1 + 2x) -21 + 20x = 6 + (1 * -3 + 2x * -3) -21 + 20x = 6 + (-3 + -6x) Combine like terms: 6 + -3 = 3 -21 + 20x = 3 + -6x Solving -21 + 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. -21 + 20x + 6x = 3 + -6x + 6x Combine like terms: 20x + 6x = 26x -21 + 26x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 26x = 3 + 0 -21 + 26x = 3 Add '21' to each side of the equation. -21 + 21 + 26x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 26x = 3 + 21 26x = 3 + 21 Combine like terms: 3 + 21 = 24 26x = 24 Divide each side by '26'. x = 0.9230769231 Simplifying x = 0.9230769231
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