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Simplifying 4.5 + -1.5(6x + 2) = 6 Reorder the terms: 4.5 + -1.5(2 + 6x) = 6 4.5 + (2 * -1.5 + 6x * -1.5) = 6 4.5 + (-3 + -9x) = 6 Combine like terms: 4.5 + -3 = 1.5 1.5 + -9x = 6 Solving 1.5 + -9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -9x = 6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -9x = 6 + -1.5 -9x = 6 + -1.5 Combine like terms: 6 + -1.5 = 4.5 -9x = 4.5 Divide each side by '-9'. x = -0.5 Simplifying x = -0.5
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