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Simplifying 0.6(6x + 3) = 4x + 2 Reorder the terms: 0.6(3 + 6x) = 4x + 2 (3 * 0.6 + 6x * 0.6) = 4x + 2 (1.8 + 3.6x) = 4x + 2 Reorder the terms: 1.8 + 3.6x = 2 + 4x Solving 1.8 + 3.6x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1.8 + 3.6x + -4x = 2 + 4x + -4x Combine like terms: 3.6x + -4x = -0.4x 1.8 + -0.4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 1.8 + -0.4x = 2 + 0 1.8 + -0.4x = 2 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.4x = 2 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.4x = 2 + -1.8 -0.4x = 2 + -1.8 Combine like terms: 2 + -1.8 = 0.2 -0.4x = 0.2 Divide each side by '-0.4'. x = -0.5 Simplifying x = -0.5
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