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Simplifying -4.8(x + 3) + 6.5(x + -1.2) = 0 Reorder the terms: -4.8(3 + x) + 6.5(x + -1.2) = 0 (3 * -4.8 + x * -4.8) + 6.5(x + -1.2) = 0 (-14.4 + -4.8x) + 6.5(x + -1.2) = 0 Reorder the terms: -14.4 + -4.8x + 6.5(-1.2 + x) = 0 -14.4 + -4.8x + (-1.2 * 6.5 + x * 6.5) = 0 -14.4 + -4.8x + (-7.8 + 6.5x) = 0 Reorder the terms: -14.4 + -7.8 + -4.8x + 6.5x = 0 Combine like terms: -14.4 + -7.8 = -22.2 -22.2 + -4.8x + 6.5x = 0 Combine like terms: -4.8x + 6.5x = 1.7x -22.2 + 1.7x = 0 Solving -22.2 + 1.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22.2' to each side of the equation. -22.2 + 22.2 + 1.7x = 0 + 22.2 Combine like terms: -22.2 + 22.2 = 0.0 0.0 + 1.7x = 0 + 22.2 1.7x = 0 + 22.2 Combine like terms: 0 + 22.2 = 22.2 1.7x = 22.2 Divide each side by '1.7'. x = 13.05882353 Simplifying x = 13.05882353
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