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Simplifying x + 0.2(x + -8 + -2(8 + -0.3(5 + -1x) + -1x)) = 0 x + 0.2(x + -8 + -2(8 + (5 * -0.3 + -1x * -0.3) + -1x)) = 0 x + 0.2(x + -8 + -2(8 + (-1.5 + 0.3x) + -1x)) = 0 Combine like terms: 8 + -1.5 = 6.5 x + 0.2(x + -8 + -2(6.5 + 0.3x + -1x)) = 0 Combine like terms: 0.3x + -1x = -0.7x x + 0.2(x + -8 + -2(6.5 + -0.7x)) = 0 x + 0.2(x + -8 + (6.5 * -2 + -0.7x * -2)) = 0 x + 0.2(x + -8 + (-13 + 1.4x)) = 0 Reorder the terms: x + 0.2(-8 + -13 + x + 1.4x) = 0 Combine like terms: -8 + -13 = -21 x + 0.2(-21 + x + 1.4x) = 0 Combine like terms: x + 1.4x = 2.4x x + 0.2(-21 + 2.4x) = 0 x + (-21 * 0.2 + 2.4x * 0.2) = 0 x + (-4.2 + 0.48x) = 0 Reorder the terms: -4.2 + x + 0.48x = 0 Combine like terms: x + 0.48x = 1.48x -4.2 + 1.48x = 0 Solving -4.2 + 1.48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.2' to each side of the equation. -4.2 + 4.2 + 1.48x = 0 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1.48x = 0 + 4.2 1.48x = 0 + 4.2 Combine like terms: 0 + 4.2 = 4.2 1.48x = 4.2 Divide each side by '1.48'. x = 2.837837838 Simplifying x = 2.837837838
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