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Simplifying 0.2(x + -10) = -2(0.1x + 12) Reorder the terms: 0.2(-10 + x) = -2(0.1x + 12) (-10 * 0.2 + x * 0.2) = -2(0.1x + 12) (-2 + 0.2x) = -2(0.1x + 12) Reorder the terms: -2 + 0.2x = -2(12 + 0.1x) -2 + 0.2x = (12 * -2 + 0.1x * -2) -2 + 0.2x = (-24 + -0.2x) Solving -2 + 0.2x = -24 + -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 + 0.2x + 0.2x = -24 + -0.2x + 0.2x Combine like terms: 0.2x + 0.2x = 0.4x -2 + 0.4x = -24 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -2 + 0.4x = -24 + 0.0 -2 + 0.4x = -24 Add '2' to each side of the equation. -2 + 2 + 0.4x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + 0.4x = -24 + 2 0.4x = -24 + 2 Combine like terms: -24 + 2 = -22 0.4x = -22 Divide each side by '0.4'. x = -55 Simplifying x = -55
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