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Simplifying 0.4(3 + -1x) + 6x = 3x + 12 + -1x (3 * 0.4 + -1x * 0.4) + 6x = 3x + 12 + -1x (1.2 + -0.4x) + 6x = 3x + 12 + -1x Combine like terms: -0.4x + 6x = 5.6x 1.2 + 5.6x = 3x + 12 + -1x Reorder the terms: 1.2 + 5.6x = 12 + 3x + -1x Combine like terms: 3x + -1x = 2x 1.2 + 5.6x = 12 + 2x Solving 1.2 + 5.6x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1.2 + 5.6x + -2x = 12 + 2x + -2x Combine like terms: 5.6x + -2x = 3.6x 1.2 + 3.6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 1.2 + 3.6x = 12 + 0 1.2 + 3.6x = 12 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 3.6x = 12 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 3.6x = 12 + -1.2 3.6x = 12 + -1.2 Combine like terms: 12 + -1.2 = 10.8 3.6x = 10.8 Divide each side by '3.6'. x = 3 Simplifying x = 3
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