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Simplifying -0.5(1 + 9x) = -3.8x (1 * -0.5 + 9x * -0.5) = -3.8x (-0.5 + -4.5x) = -3.8x Solving -0.5 + -4.5x = -3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.8x' to each side of the equation. -0.5 + -4.5x + 3.8x = -3.8x + 3.8x Combine like terms: -4.5x + 3.8x = -0.7x -0.5 + -0.7x = -3.8x + 3.8x Combine like terms: -3.8x + 3.8x = 0.0 -0.5 + -0.7x = 0.0 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.7x = 0.0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.7x = 0.0 + 0.5 -0.7x = 0.0 + 0.5 Combine like terms: 0.0 + 0.5 = 0.5 -0.7x = 0.5 Divide each side by '-0.7'. x = -0.7142857143 Simplifying x = -0.7142857143
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