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Simplifying 0.7(x + 4) + 1.7(x + -3) = 0 Reorder the terms: 0.7(4 + x) + 1.7(x + -3) = 0 (4 * 0.7 + x * 0.7) + 1.7(x + -3) = 0 (2.8 + 0.7x) + 1.7(x + -3) = 0 Reorder the terms: 2.8 + 0.7x + 1.7(-3 + x) = 0 2.8 + 0.7x + (-3 * 1.7 + x * 1.7) = 0 2.8 + 0.7x + (-5.1 + 1.7x) = 0 Reorder the terms: 2.8 + -5.1 + 0.7x + 1.7x = 0 Combine like terms: 2.8 + -5.1 = -2.3 -2.3 + 0.7x + 1.7x = 0 Combine like terms: 0.7x + 1.7x = 2.4x -2.3 + 2.4x = 0 Solving -2.3 + 2.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.3' to each side of the equation. -2.3 + 2.3 + 2.4x = 0 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 2.4x = 0 + 2.3 2.4x = 0 + 2.3 Combine like terms: 0 + 2.3 = 2.3 2.4x = 2.3 Divide each side by '2.4'. x = 0.9583333333 Simplifying x = 0.9583333333
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