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Simplifying 0.7(x + 7) + 1.7(x + -6) = 0 Reorder the terms: 0.7(7 + x) + 1.7(x + -6) = 0 (7 * 0.7 + x * 0.7) + 1.7(x + -6) = 0 (4.9 + 0.7x) + 1.7(x + -6) = 0 Reorder the terms: 4.9 + 0.7x + 1.7(-6 + x) = 0 4.9 + 0.7x + (-6 * 1.7 + x * 1.7) = 0 4.9 + 0.7x + (-10.2 + 1.7x) = 0 Reorder the terms: 4.9 + -10.2 + 0.7x + 1.7x = 0 Combine like terms: 4.9 + -10.2 = -5.3 -5.3 + 0.7x + 1.7x = 0 Combine like terms: 0.7x + 1.7x = 2.4x -5.3 + 2.4x = 0 Solving -5.3 + 2.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.3' to each side of the equation. -5.3 + 5.3 + 2.4x = 0 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 2.4x = 0 + 5.3 2.4x = 0 + 5.3 Combine like terms: 0 + 5.3 = 5.3 2.4x = 5.3 Divide each side by '2.4'. x = 2.208333333 Simplifying x = 2.208333333
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