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Simplifying (2.2 + -6.1x) + -1(3.7 + 1.9x) = 0 Remove parenthesis around (2.2 + -6.1x) 2.2 + -6.1x + -1(3.7 + 1.9x) = 0 2.2 + -6.1x + (3.7 * -1 + 1.9x * -1) = 0 2.2 + -6.1x + (-3.7 + -1.9x) = 0 Reorder the terms: 2.2 + -3.7 + -6.1x + -1.9x = 0 Combine like terms: 2.2 + -3.7 = -1.5 -1.5 + -6.1x + -1.9x = 0 Combine like terms: -6.1x + -1.9x = -8x -1.5 + -8x = 0 Solving -1.5 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + -8x = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -8x = 0 + 1.5 -8x = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -8x = 1.5 Divide each side by '-8'. x = -0.1875 Simplifying x = -0.1875
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