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Simplifying 30 = 0.5(x) + 0.5(3x) Remove parenthesis around (3x) 30 = 0.5x + 0.5 * 3x Multiply 0.5 * 3 30 = 0.5x + 1.5x Combine like terms: 0.5x + 1.5x = 2x 30 = 2x Solving 30 = 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. 30 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 30 + -2x = 0 Add '-30' to each side of the equation. 30 + -30 + -2x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 0 + -30 -2x = 0 + -30 Combine like terms: 0 + -30 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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