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Simplifying 0.2x + 0.4 + 2 = 6x + -10 Reorder the terms: 0.4 + 2 + 0.2x = 6x + -10 Combine like terms: 0.4 + 2 = 2.4 2.4 + 0.2x = 6x + -10 Reorder the terms: 2.4 + 0.2x = -10 + 6x Solving 2.4 + 0.2x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2.4 + 0.2x + -6x = -10 + 6x + -6x Combine like terms: 0.2x + -6x = -5.8x 2.4 + -5.8x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 2.4 + -5.8x = -10 + 0 2.4 + -5.8x = -10 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -5.8x = -10 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -5.8x = -10 + -2.4 -5.8x = -10 + -2.4 Combine like terms: -10 + -2.4 = -12.4 -5.8x = -12.4 Divide each side by '-5.8'. x = 2.137931034 Simplifying x = 2.137931034
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