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Simplifying 0.2(30 + -10x) = 0.6(4x + 2) (30 * 0.2 + -10x * 0.2) = 0.6(4x + 2) (6 + -2x) = 0.6(4x + 2) Reorder the terms: 6 + -2x = 0.6(2 + 4x) 6 + -2x = (2 * 0.6 + 4x * 0.6) 6 + -2x = (1.2 + 2.4x) Solving 6 + -2x = 1.2 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 6 + -2x + -2.4x = 1.2 + 2.4x + -2.4x Combine like terms: -2x + -2.4x = -4.4x 6 + -4.4x = 1.2 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 6 + -4.4x = 1.2 + 0.0 6 + -4.4x = 1.2 Add '-6' to each side of the equation. 6 + -6 + -4.4x = 1.2 + -6 Combine like terms: 6 + -6 = 0 0 + -4.4x = 1.2 + -6 -4.4x = 1.2 + -6 Combine like terms: 1.2 + -6 = -4.8 -4.4x = -4.8 Divide each side by '-4.4'. x = 1.090909091 Simplifying x = 1.090909091
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