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Simplifying 7.05x + -18.256 = -4.1(2.612 + -4.274x) + -6.7x Reorder the terms: -18.256 + 7.05x = -4.1(2.612 + -4.274x) + -6.7x -18.256 + 7.05x = (2.612 * -4.1 + -4.274x * -4.1) + -6.7x -18.256 + 7.05x = (-10.7092 + 17.5234x) + -6.7x Combine like terms: 17.5234x + -6.7x = 10.8234x -18.256 + 7.05x = -10.7092 + 10.8234x Solving -18.256 + 7.05x = -10.7092 + 10.8234x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.8234x' to each side of the equation. -18.256 + 7.05x + -10.8234x = -10.7092 + 10.8234x + -10.8234x Combine like terms: 7.05x + -10.8234x = -3.7734x -18.256 + -3.7734x = -10.7092 + 10.8234x + -10.8234x Combine like terms: 10.8234x + -10.8234x = 0.0000 -18.256 + -3.7734x = -10.7092 + 0.0000 -18.256 + -3.7734x = -10.7092 Add '18.256' to each side of the equation. -18.256 + 18.256 + -3.7734x = -10.7092 + 18.256 Combine like terms: -18.256 + 18.256 = 0.000 0.000 + -3.7734x = -10.7092 + 18.256 -3.7734x = -10.7092 + 18.256 Combine like terms: -10.7092 + 18.256 = 7.5468 -3.7734x = 7.5468 Divide each side by '-3.7734'. x = -2 Simplifying x = -2
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