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Simplifying 0.4(3 + -5x) = 0.6(3 + -10x) (3 * 0.4 + -5x * 0.4) = 0.6(3 + -10x) (1.2 + -2x) = 0.6(3 + -10x) 1.2 + -2x = (3 * 0.6 + -10x * 0.6) 1.2 + -2x = (1.8 + -6x) Solving 1.2 + -2x = 1.8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1.2 + -2x + 6x = 1.8 + -6x + 6x Combine like terms: -2x + 6x = 4x 1.2 + 4x = 1.8 + -6x + 6x Combine like terms: -6x + 6x = 0 1.2 + 4x = 1.8 + 0 1.2 + 4x = 1.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 4x = 1.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 4x = 1.8 + -1.2 4x = 1.8 + -1.2 Combine like terms: 1.8 + -1.2 = 0.6 4x = 0.6 Divide each side by '4'. x = 0.15 Simplifying x = 0.15
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