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Simplifying 0.2 + 0.4 + 2x = 6x + -10 Combine like terms: 0.2 + 0.4 = 0.6 0.6 + 2x = 6x + -10 Reorder the terms: 0.6 + 2x = -10 + 6x Solving 0.6 + 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. 0.6 + 2x + -6x = -10 + 6x + -6x Combine like terms: 2x + -6x = -4x 0.6 + -4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 0.6 + -4x = -10 + 0 0.6 + -4x = -10 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -4x = -10 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -4x = -10 + -0.6 -4x = -10 + -0.6 Combine like terms: -10 + -0.6 = -10.6 -4x = -10.6 Divide each side by '-4'. x = 2.65 Simplifying x = 2.65
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