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Simplifying 6 + -2(x + 6) = 0.2x + -0.5 Reorder the terms: 6 + -2(6 + x) = 0.2x + -0.5 6 + (6 * -2 + x * -2) = 0.2x + -0.5 6 + (-12 + -2x) = 0.2x + -0.5 Combine like terms: 6 + -12 = -6 -6 + -2x = 0.2x + -0.5 Reorder the terms: -6 + -2x = -0.5 + 0.2x Solving -6 + -2x = -0.5 + 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. -6 + -2x + -0.2x = -0.5 + 0.2x + -0.2x Combine like terms: -2x + -0.2x = -2.2x -6 + -2.2x = -0.5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -6 + -2.2x = -0.5 + 0.0 -6 + -2.2x = -0.5 Add '6' to each side of the equation. -6 + 6 + -2.2x = -0.5 + 6 Combine like terms: -6 + 6 = 0 0 + -2.2x = -0.5 + 6 -2.2x = -0.5 + 6 Combine like terms: -0.5 + 6 = 5.5 -2.2x = 5.5 Divide each side by '-2.2'. x = -2.5 Simplifying x = -2.5
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