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Simplifying 0.5x + -0.2(12 + -2x) = -0.1(x + -6) 0.5x + (12 * -0.2 + -2x * -0.2) = -0.1(x + -6) 0.5x + (-2.4 + 0.4x) = -0.1(x + -6) Reorder the terms: -2.4 + 0.5x + 0.4x = -0.1(x + -6) Combine like terms: 0.5x + 0.4x = 0.9x -2.4 + 0.9x = -0.1(x + -6) Reorder the terms: -2.4 + 0.9x = -0.1(-6 + x) -2.4 + 0.9x = (-6 * -0.1 + x * -0.1) -2.4 + 0.9x = (0.6 + -0.1x) Solving -2.4 + 0.9x = 0.6 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -2.4 + 0.9x + 0.1x = 0.6 + -0.1x + 0.1x Combine like terms: 0.9x + 0.1x = 1x -2.4 + 1x = 0.6 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -2.4 + 1x = 0.6 + 0.0 -2.4 + 1x = 0.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + 1x = 0.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1x = 0.6 + 2.4 1x = 0.6 + 2.4 Combine like terms: 0.6 + 2.4 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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