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Simplifying 0.6[x + -2] = 0.2[4 + 2x] Reorder the terms: 0.6[-2 + x] = 0.2[4 + 2x] [-2 * 0.6 + x * 0.6] = 0.2[4 + 2x] [-1.2 + 0.6x] = 0.2[4 + 2x] -1.2 + 0.6x = [4 * 0.2 + 2x * 0.2] -1.2 + 0.6x = [0.8 + 0.4x] Solving -1.2 + 0.6x = 0.8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -1.2 + 0.6x + -0.4x = 0.8 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x -1.2 + 0.2x = 0.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -1.2 + 0.2x = 0.8 + 0.0 -1.2 + 0.2x = 0.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.2x = 0.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.2x = 0.8 + 1.2 0.2x = 0.8 + 1.2 Combine like terms: 0.8 + 1.2 = 2 0.2x = 2 Divide each side by '0.2'. x = 10 Simplifying x = 10
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