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Simplifying 0.3 + 5 + -3 + 0.1x = 0.2(x + -6) Combine like terms: 0.3 + 5 = 5.3 5.3 + -3 + 0.1x = 0.2(x + -6) Combine like terms: 5.3 + -3 = 2.3 2.3 + 0.1x = 0.2(x + -6) Reorder the terms: 2.3 + 0.1x = 0.2(-6 + x) 2.3 + 0.1x = (-6 * 0.2 + x * 0.2) 2.3 + 0.1x = (-1.2 + 0.2x) Solving 2.3 + 0.1x = -1.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 2.3 + 0.1x + -0.2x = -1.2 + 0.2x + -0.2x Combine like terms: 0.1x + -0.2x = -0.1x 2.3 + -0.1x = -1.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 2.3 + -0.1x = -1.2 + 0.0 2.3 + -0.1x = -1.2 Add '-2.3' to each side of the equation. 2.3 + -2.3 + -0.1x = -1.2 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + -0.1x = -1.2 + -2.3 -0.1x = -1.2 + -2.3 Combine like terms: -1.2 + -2.3 = -3.5 -0.1x = -3.5 Divide each side by '-0.1'. x = 35 Simplifying x = 35
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