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Simplifying 0.6(2x + 6) = 3x + 9 Reorder the terms: 0.6(6 + 2x) = 3x + 9 (6 * 0.6 + 2x * 0.6) = 3x + 9 (3.6 + 1.2x) = 3x + 9 Reorder the terms: 3.6 + 1.2x = 9 + 3x Solving 3.6 + 1.2x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3.6 + 1.2x + -3x = 9 + 3x + -3x Combine like terms: 1.2x + -3x = -1.8x 3.6 + -1.8x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 3.6 + -1.8x = 9 + 0 3.6 + -1.8x = 9 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -1.8x = 9 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -1.8x = 9 + -3.6 -1.8x = 9 + -3.6 Combine like terms: 9 + -3.6 = 5.4 -1.8x = 5.4 Divide each side by '-1.8'. x = -3 Simplifying x = -3
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