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Simplifying 3(2x + 1) = 0.5(18x + 10) Reorder the terms: 3(1 + 2x) = 0.5(18x + 10) (1 * 3 + 2x * 3) = 0.5(18x + 10) (3 + 6x) = 0.5(18x + 10) Reorder the terms: 3 + 6x = 0.5(10 + 18x) 3 + 6x = (10 * 0.5 + 18x * 0.5) 3 + 6x = (5 + 9x) Solving 3 + 6x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 6x + -9x = 5 + 9x + -9x Combine like terms: 6x + -9x = -3x 3 + -3x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -3x = 5 + 0 3 + -3x = 5 Add '-3' to each side of the equation. 3 + -3 + -3x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 5 + -3 -3x = 5 + -3 Combine like terms: 5 + -3 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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