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Simplifying 0.2(4 + -6x) = 3.6 + -1(0.6x + 2.2) (4 * 0.2 + -6x * 0.2) = 3.6 + -1(0.6x + 2.2) (0.8 + -1.2x) = 3.6 + -1(0.6x + 2.2) Reorder the terms: 0.8 + -1.2x = 3.6 + -1(2.2 + 0.6x) 0.8 + -1.2x = 3.6 + (2.2 * -1 + 0.6x * -1) 0.8 + -1.2x = 3.6 + (-2.2 + -0.6x) Combine like terms: 3.6 + -2.2 = 1.4 0.8 + -1.2x = 1.4 + -0.6x Solving 0.8 + -1.2x = 1.4 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 0.8 + -1.2x + 0.6x = 1.4 + -0.6x + 0.6x Combine like terms: -1.2x + 0.6x = -0.6x 0.8 + -0.6x = 1.4 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 0.8 + -0.6x = 1.4 + 0.0 0.8 + -0.6x = 1.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.6x = 1.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.6x = 1.4 + -0.8 -0.6x = 1.4 + -0.8 Combine like terms: 1.4 + -0.8 = 0.6 -0.6x = 0.6 Divide each side by '-0.6'. x = -1 Simplifying x = -1
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