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Simplifying 0.3(15x + -6) + -1(x + 7) = 0 Reorder the terms: 0.3(-6 + 15x) + -1(x + 7) = 0 (-6 * 0.3 + 15x * 0.3) + -1(x + 7) = 0 (-1.8 + 4.5x) + -1(x + 7) = 0 Reorder the terms: -1.8 + 4.5x + -1(7 + x) = 0 -1.8 + 4.5x + (7 * -1 + x * -1) = 0 -1.8 + 4.5x + (-7 + -1x) = 0 Reorder the terms: -1.8 + -7 + 4.5x + -1x = 0 Combine like terms: -1.8 + -7 = -8.8 -8.8 + 4.5x + -1x = 0 Combine like terms: 4.5x + -1x = 3.5x -8.8 + 3.5x = 0 Solving -8.8 + 3.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.8' to each side of the equation. -8.8 + 8.8 + 3.5x = 0 + 8.8 Combine like terms: -8.8 + 8.8 = 0.0 0.0 + 3.5x = 0 + 8.8 3.5x = 0 + 8.8 Combine like terms: 0 + 8.8 = 8.8 3.5x = 8.8 Divide each side by '3.5'. x = 2.514285714 Simplifying x = 2.514285714
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