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Simplifying 2.5 + -7(4.1x + 4.6) = 27.7 Reorder the terms: 2.5 + -7(4.6 + 4.1x) = 27.7 2.5 + (4.6 * -7 + 4.1x * -7) = 27.7 2.5 + (-32.2 + -28.7x) = 27.7 Combine like terms: 2.5 + -32.2 = -29.7 -29.7 + -28.7x = 27.7 Solving -29.7 + -28.7x = 27.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29.7' to each side of the equation. -29.7 + 29.7 + -28.7x = 27.7 + 29.7 Combine like terms: -29.7 + 29.7 = 0.0 0.0 + -28.7x = 27.7 + 29.7 -28.7x = 27.7 + 29.7 Combine like terms: 27.7 + 29.7 = 57.4 -28.7x = 57.4 Divide each side by '-28.7'. x = -2 Simplifying x = -2
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