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Simplifying 0.4(1 + -3x) = 0.6(x + 3) + -12 (1 * 0.4 + -3x * 0.4) = 0.6(x + 3) + -12 (0.4 + -1.2x) = 0.6(x + 3) + -12 Reorder the terms: 0.4 + -1.2x = 0.6(3 + x) + -12 0.4 + -1.2x = (3 * 0.6 + x * 0.6) + -12 0.4 + -1.2x = (1.8 + 0.6x) + -12 Reorder the terms: 0.4 + -1.2x = 1.8 + -12 + 0.6x Combine like terms: 1.8 + -12 = -10.2 0.4 + -1.2x = -10.2 + 0.6x Solving 0.4 + -1.2x = -10.2 + 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. 0.4 + -1.2x + -0.6x = -10.2 + 0.6x + -0.6x Combine like terms: -1.2x + -0.6x = -1.8x 0.4 + -1.8x = -10.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.4 + -1.8x = -10.2 + 0.0 0.4 + -1.8x = -10.2 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1.8x = -10.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1.8x = -10.2 + -0.4 -1.8x = -10.2 + -0.4 Combine like terms: -10.2 + -0.4 = -10.6 -1.8x = -10.6 Divide each side by '-1.8'. x = 5.888888889 Simplifying x = 5.888888889
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