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Simplifying 5 + 4(5x + -4) = 5 + -4(2x + 1) Reorder the terms: 5 + 4(-4 + 5x) = 5 + -4(2x + 1) 5 + (-4 * 4 + 5x * 4) = 5 + -4(2x + 1) 5 + (-16 + 20x) = 5 + -4(2x + 1) Combine like terms: 5 + -16 = -11 -11 + 20x = 5 + -4(2x + 1) Reorder the terms: -11 + 20x = 5 + -4(1 + 2x) -11 + 20x = 5 + (1 * -4 + 2x * -4) -11 + 20x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -11 + 20x = 1 + -8x Solving -11 + 20x = 1 + -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. -11 + 20x + 8x = 1 + -8x + 8x Combine like terms: 20x + 8x = 28x -11 + 28x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 28x = 1 + 0 -11 + 28x = 1 Add '11' to each side of the equation. -11 + 11 + 28x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 28x = 1 + 11 28x = 1 + 11 Combine like terms: 1 + 11 = 12 28x = 12 Divide each side by '28'. x = 0.4285714286 Simplifying x = 0.4285714286
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