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Simplifying 15x + -20(0.5 + 1.5x) = 7 15x + (0.5 * -20 + 1.5x * -20) = 7 15x + (-10 + -30x) = 7 Reorder the terms: -10 + 15x + -30x = 7 Combine like terms: 15x + -30x = -15x -10 + -15x = 7 Solving -10 + -15x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -15x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -15x = 7 + 10 -15x = 7 + 10 Combine like terms: 7 + 10 = 17 -15x = 17 Divide each side by '-15'. x = -1.133333333 Simplifying x = -1.133333333
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