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Simplifying 0.2(x + 6) = 0.2x + 3(0.1 + -1x) Reorder the terms: 0.2(6 + x) = 0.2x + 3(0.1 + -1x) (6 * 0.2 + x * 0.2) = 0.2x + 3(0.1 + -1x) (1.2 + 0.2x) = 0.2x + 3(0.1 + -1x) 1.2 + 0.2x = 0.2x + (0.1 * 3 + -1x * 3) 1.2 + 0.2x = 0.2x + (0.3 + -3x) Reorder the terms: 1.2 + 0.2x = 0.3 + 0.2x + -3x Combine like terms: 0.2x + -3x = -2.8x 1.2 + 0.2x = 0.3 + -2.8x Solving 1.2 + 0.2x = 0.3 + -2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.8x' to each side of the equation. 1.2 + 0.2x + 2.8x = 0.3 + -2.8x + 2.8x Combine like terms: 0.2x + 2.8x = 3x 1.2 + 3x = 0.3 + -2.8x + 2.8x Combine like terms: -2.8x + 2.8x = 0.0 1.2 + 3x = 0.3 + 0.0 1.2 + 3x = 0.3 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 3x = 0.3 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 3x = 0.3 + -1.2 3x = 0.3 + -1.2 Combine like terms: 0.3 + -1.2 = -0.9 3x = -0.9 Divide each side by '3'. x = -0.3 Simplifying x = -0.3
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