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Simplifying 0.8(7x + -2) = 9.5x + 1 Reorder the terms: 0.8(-2 + 7x) = 9.5x + 1 (-2 * 0.8 + 7x * 0.8) = 9.5x + 1 (-1.6 + 5.6x) = 9.5x + 1 Reorder the terms: -1.6 + 5.6x = 1 + 9.5x Solving -1.6 + 5.6x = 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 + 5.6x + -9.5x = 1 + 9.5x + -9.5x Combine like terms: 5.6x + -9.5x = -3.9x -1.6 + -3.9x = 1 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 -1.6 + -3.9x = 1 + 0.0 -1.6 + -3.9x = 1 Add '1.6' to each side of the equation. -1.6 + 1.6 + -3.9x = 1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -3.9x = 1 + 1.6 -3.9x = 1 + 1.6 Combine like terms: 1 + 1.6 = 2.6 -3.9x = 2.6 Divide each side by '-3.9'. x = -0.6666666667 Simplifying x = -0.6666666667
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