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Simplifying 0.6(x + 6) + 0.5(3x + -4) = 15 Reorder the terms: 0.6(6 + x) + 0.5(3x + -4) = 15 (6 * 0.6 + x * 0.6) + 0.5(3x + -4) = 15 (3.6 + 0.6x) + 0.5(3x + -4) = 15 Reorder the terms: 3.6 + 0.6x + 0.5(-4 + 3x) = 15 3.6 + 0.6x + (-4 * 0.5 + 3x * 0.5) = 15 3.6 + 0.6x + (-2 + 1.5x) = 15 Reorder the terms: 3.6 + -2 + 0.6x + 1.5x = 15 Combine like terms: 3.6 + -2 = 1.6 1.6 + 0.6x + 1.5x = 15 Combine like terms: 0.6x + 1.5x = 2.1x 1.6 + 2.1x = 15 Solving 1.6 + 2.1x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + 2.1x = 15 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 2.1x = 15 + -1.6 2.1x = 15 + -1.6 Combine like terms: 15 + -1.6 = 13.4 2.1x = 13.4 Divide each side by '2.1'. x = 6.380952381 Simplifying x = 6.380952381
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