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Simplifying 0.3(6 + -4x) = 2(-6x + 9) (6 * 0.3 + -4x * 0.3) = 2(-6x + 9) (1.8 + -1.2x) = 2(-6x + 9) Reorder the terms: 1.8 + -1.2x = 2(9 + -6x) 1.8 + -1.2x = (9 * 2 + -6x * 2) 1.8 + -1.2x = (18 + -12x) Solving 1.8 + -1.2x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 1.8 + -1.2x + 12x = 18 + -12x + 12x Combine like terms: -1.2x + 12x = 10.8x 1.8 + 10.8x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 1.8 + 10.8x = 18 + 0 1.8 + 10.8x = 18 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 10.8x = 18 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 10.8x = 18 + -1.8 10.8x = 18 + -1.8 Combine like terms: 18 + -1.8 = 16.2 10.8x = 16.2 Divide each side by '10.8'. x = 1.5 Simplifying x = 1.5
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