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Simplifying 1.8(x + -1) = 3.1x + -2 Reorder the terms: 1.8(-1 + x) = 3.1x + -2 (-1 * 1.8 + x * 1.8) = 3.1x + -2 (-1.8 + 1.8x) = 3.1x + -2 Reorder the terms: -1.8 + 1.8x = -2 + 3.1x Solving -1.8 + 1.8x = -2 + 3.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1x' to each side of the equation. -1.8 + 1.8x + -3.1x = -2 + 3.1x + -3.1x Combine like terms: 1.8x + -3.1x = -1.3x -1.8 + -1.3x = -2 + 3.1x + -3.1x Combine like terms: 3.1x + -3.1x = 0.0 -1.8 + -1.3x = -2 + 0.0 -1.8 + -1.3x = -2 Add '1.8' to each side of the equation. -1.8 + 1.8 + -1.3x = -2 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -1.3x = -2 + 1.8 -1.3x = -2 + 1.8 Combine like terms: -2 + 1.8 = -0.2 -1.3x = -0.2 Divide each side by '-1.3'. x = 0.1538461538 Simplifying x = 0.1538461538
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