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Simplifying 0.5(3x) = 8 + -1(2x) + 10 Remove parenthesis around (3x) 0.5 * 3x = 8 + -1(2x) + 10 Multiply 0.5 * 3 1.5x = 8 + -1(2x) + 10 Remove parenthesis around (2x) 1.5x = 8 + -1 * 2x + 10 Multiply -1 * 2 1.5x = 8 + -2x + 10 Reorder the terms: 1.5x = 8 + 10 + -2x Combine like terms: 8 + 10 = 18 1.5x = 18 + -2x Solving 1.5x = 18 + -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. 1.5x + 2x = 18 + -2x + 2x Combine like terms: 1.5x + 2x = 3.5x 3.5x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 3.5x = 18 + 0 3.5x = 18 Divide each side by '3.5'. x = 5.142857143 Simplifying x = 5.142857143
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