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Simplifying 0.2(x + -10) = 0.6x + -14 Reorder the terms: 0.2(-10 + x) = 0.6x + -14 (-10 * 0.2 + x * 0.2) = 0.6x + -14 (-2 + 0.2x) = 0.6x + -14 Reorder the terms: -2 + 0.2x = -14 + 0.6x Solving -2 + 0.2x = -14 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -2 + 0.2x + -0.6x = -14 + 0.6x + -0.6x Combine like terms: 0.2x + -0.6x = -0.4x -2 + -0.4x = -14 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -2 + -0.4x = -14 + 0.0 -2 + -0.4x = -14 Add '2' to each side of the equation. -2 + 2 + -0.4x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -0.4x = -14 + 2 -0.4x = -14 + 2 Combine like terms: -14 + 2 = -12 -0.4x = -12 Divide each side by '-0.4'. x = 30 Simplifying x = 30
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