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Simplifying 7(x + -1.3) + 2.4 + -5.3x = 0 Reorder the terms: 7(-1.3 + x) + 2.4 + -5.3x = 0 (-1.3 * 7 + x * 7) + 2.4 + -5.3x = 0 (-9.1 + 7x) + 2.4 + -5.3x = 0 Reorder the terms: -9.1 + 2.4 + 7x + -5.3x = 0 Combine like terms: -9.1 + 2.4 = -6.7 -6.7 + 7x + -5.3x = 0 Combine like terms: 7x + -5.3x = 1.7x -6.7 + 1.7x = 0 Solving -6.7 + 1.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.7' to each side of the equation. -6.7 + 6.7 + 1.7x = 0 + 6.7 Combine like terms: -6.7 + 6.7 = 0.0 0.0 + 1.7x = 0 + 6.7 1.7x = 0 + 6.7 Combine like terms: 0 + 6.7 = 6.7 1.7x = 6.7 Divide each side by '1.7'. x = 3.941176471 Simplifying x = 3.941176471
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