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Simplifying 0.2(3 + -6x) = 4 + -1(3x + 8) (3 * 0.2 + -6x * 0.2) = 4 + -1(3x + 8) (0.6 + -1.2x) = 4 + -1(3x + 8) Reorder the terms: 0.6 + -1.2x = 4 + -1(8 + 3x) 0.6 + -1.2x = 4 + (8 * -1 + 3x * -1) 0.6 + -1.2x = 4 + (-8 + -3x) Combine like terms: 4 + -8 = -4 0.6 + -1.2x = -4 + -3x Solving 0.6 + -1.2x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0.6 + -1.2x + 3x = -4 + -3x + 3x Combine like terms: -1.2x + 3x = 1.8x 0.6 + 1.8x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 0.6 + 1.8x = -4 + 0 0.6 + 1.8x = -4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 1.8x = -4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.8x = -4 + -0.6 1.8x = -4 + -0.6 Combine like terms: -4 + -0.6 = -4.6 1.8x = -4.6 Divide each side by '1.8'. x = -2.555555556 Simplifying x = -2.555555556
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