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Simplifying 0.5(2.1x + -3) = 0.6(3.1x + 8) Reorder the terms: 0.5(-3 + 2.1x) = 0.6(3.1x + 8) (-3 * 0.5 + 2.1x * 0.5) = 0.6(3.1x + 8) (-1.5 + 1.05x) = 0.6(3.1x + 8) Reorder the terms: -1.5 + 1.05x = 0.6(8 + 3.1x) -1.5 + 1.05x = (8 * 0.6 + 3.1x * 0.6) -1.5 + 1.05x = (4.8 + 1.86x) Solving -1.5 + 1.05x = 4.8 + 1.86x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.86x' to each side of the equation. -1.5 + 1.05x + -1.86x = 4.8 + 1.86x + -1.86x Combine like terms: 1.05x + -1.86x = -0.81x -1.5 + -0.81x = 4.8 + 1.86x + -1.86x Combine like terms: 1.86x + -1.86x = 0.00 -1.5 + -0.81x = 4.8 + 0.00 -1.5 + -0.81x = 4.8 Add '1.5' to each side of the equation. -1.5 + 1.5 + -0.81x = 4.8 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.81x = 4.8 + 1.5 -0.81x = 4.8 + 1.5 Combine like terms: 4.8 + 1.5 = 6.3 -0.81x = 6.3 Divide each side by '-0.81'. x = -7.777777778 Simplifying x = -7.777777778
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