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Simplifying 6 + 4(5x + -5) = 9 + -4(2x + 1) Reorder the terms: 6 + 4(-5 + 5x) = 9 + -4(2x + 1) 6 + (-5 * 4 + 5x * 4) = 9 + -4(2x + 1) 6 + (-20 + 20x) = 9 + -4(2x + 1) Combine like terms: 6 + -20 = -14 -14 + 20x = 9 + -4(2x + 1) Reorder the terms: -14 + 20x = 9 + -4(1 + 2x) -14 + 20x = 9 + (1 * -4 + 2x * -4) -14 + 20x = 9 + (-4 + -8x) Combine like terms: 9 + -4 = 5 -14 + 20x = 5 + -8x Solving -14 + 20x = 5 + -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. -14 + 20x + 8x = 5 + -8x + 8x Combine like terms: 20x + 8x = 28x -14 + 28x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -14 + 28x = 5 + 0 -14 + 28x = 5 Add '14' to each side of the equation. -14 + 14 + 28x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 28x = 5 + 14 28x = 5 + 14 Combine like terms: 5 + 14 = 19 28x = 19 Divide each side by '28'. x = 0.6785714286 Simplifying x = 0.6785714286
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