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Simplifying 0.8(3x + -2) = 9.5x + 1 Reorder the terms: 0.8(-2 + 3x) = 9.5x + 1 (-2 * 0.8 + 3x * 0.8) = 9.5x + 1 (-1.6 + 2.4x) = 9.5x + 1 Reorder the terms: -1.6 + 2.4x = 1 + 9.5x Solving -1.6 + 2.4x = 1 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. -1.6 + 2.4x + -9.5x = 1 + 9.5x + -9.5x Combine like terms: 2.4x + -9.5x = -7.1x -1.6 + -7.1x = 1 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 -1.6 + -7.1x = 1 + 0.0 -1.6 + -7.1x = 1 Add '1.6' to each side of the equation. -1.6 + 1.6 + -7.1x = 1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -7.1x = 1 + 1.6 -7.1x = 1 + 1.6 Combine like terms: 1 + 1.6 = 2.6 -7.1x = 2.6 Divide each side by '-7.1'. x = -0.3661971831 Simplifying x = -0.3661971831
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