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Simplifying 3 + 4(5x + -6) = 6 + -4(2x + 1) Reorder the terms: 3 + 4(-6 + 5x) = 6 + -4(2x + 1) 3 + (-6 * 4 + 5x * 4) = 6 + -4(2x + 1) 3 + (-24 + 20x) = 6 + -4(2x + 1) Combine like terms: 3 + -24 = -21 -21 + 20x = 6 + -4(2x + 1) Reorder the terms: -21 + 20x = 6 + -4(1 + 2x) -21 + 20x = 6 + (1 * -4 + 2x * -4) -21 + 20x = 6 + (-4 + -8x) Combine like terms: 6 + -4 = 2 -21 + 20x = 2 + -8x Solving -21 + 20x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -21 + 20x + 8x = 2 + -8x + 8x Combine like terms: 20x + 8x = 28x -21 + 28x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + 28x = 2 + 0 -21 + 28x = 2 Add '21' to each side of the equation. -21 + 21 + 28x = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 28x = 2 + 21 28x = 2 + 21 Combine like terms: 2 + 21 = 23 28x = 23 Divide each side by '28'. x = 0.8214285714 Simplifying x = 0.8214285714
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