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Simplifying 1.1(x + 8) + 2.1(x + -7) = 0 Reorder the terms: 1.1(8 + x) + 2.1(x + -7) = 0 (8 * 1.1 + x * 1.1) + 2.1(x + -7) = 0 (8.8 + 1.1x) + 2.1(x + -7) = 0 Reorder the terms: 8.8 + 1.1x + 2.1(-7 + x) = 0 8.8 + 1.1x + (-7 * 2.1 + x * 2.1) = 0 8.8 + 1.1x + (-14.7 + 2.1x) = 0 Reorder the terms: 8.8 + -14.7 + 1.1x + 2.1x = 0 Combine like terms: 8.8 + -14.7 = -5.9 -5.9 + 1.1x + 2.1x = 0 Combine like terms: 1.1x + 2.1x = 3.2x -5.9 + 3.2x = 0 Solving -5.9 + 3.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.9' to each side of the equation. -5.9 + 5.9 + 3.2x = 0 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + 3.2x = 0 + 5.9 3.2x = 0 + 5.9 Combine like terms: 0 + 5.9 = 5.9 3.2x = 5.9 Divide each side by '3.2'. x = 1.84375 Simplifying x = 1.84375
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