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Simplifying -0.2(34.3 + 3x) = 0.1x (34.3 * -0.2 + 3x * -0.2) = 0.1x (-6.86 + -0.6x) = 0.1x Solving -6.86 + -0.6x = 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -6.86 + -0.6x + -0.1x = 0.1x + -0.1x Combine like terms: -0.6x + -0.1x = -0.7x -6.86 + -0.7x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -6.86 + -0.7x = 0.0 Add '6.86' to each side of the equation. -6.86 + 6.86 + -0.7x = 0.0 + 6.86 Combine like terms: -6.86 + 6.86 = 0.00 0.00 + -0.7x = 0.0 + 6.86 -0.7x = 0.0 + 6.86 Combine like terms: 0.0 + 6.86 = 6.86 -0.7x = 6.86 Divide each side by '-0.7'. x = -9.8 Simplifying x = -9.8
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