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Simplifying 3.5(x + 2) + -2.7(x + -4) = 0 Reorder the terms: 3.5(2 + x) + -2.7(x + -4) = 0 (2 * 3.5 + x * 3.5) + -2.7(x + -4) = 0 (7 + 3.5x) + -2.7(x + -4) = 0 Reorder the terms: 7 + 3.5x + -2.7(-4 + x) = 0 7 + 3.5x + (-4 * -2.7 + x * -2.7) = 0 7 + 3.5x + (10.8 + -2.7x) = 0 Reorder the terms: 7 + 10.8 + 3.5x + -2.7x = 0 Combine like terms: 7 + 10.8 = 17.8 17.8 + 3.5x + -2.7x = 0 Combine like terms: 3.5x + -2.7x = 0.8x 17.8 + 0.8x = 0 Solving 17.8 + 0.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.8' to each side of the equation. 17.8 + -17.8 + 0.8x = 0 + -17.8 Combine like terms: 17.8 + -17.8 = 0.0 0.0 + 0.8x = 0 + -17.8 0.8x = 0 + -17.8 Combine like terms: 0 + -17.8 = -17.8 0.8x = -17.8 Divide each side by '0.8'. x = -22.25 Simplifying x = -22.25
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