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Simplifying 0.5(x + -72) = 3 + 7x Reorder the terms: 0.5(-72 + x) = 3 + 7x (-72 * 0.5 + x * 0.5) = 3 + 7x (-36 + 0.5x) = 3 + 7x Solving -36 + 0.5x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -36 + 0.5x + -7x = 3 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -36 + -6.5x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -36 + -6.5x = 3 + 0 -36 + -6.5x = 3 Add '36' to each side of the equation. -36 + 36 + -6.5x = 3 + 36 Combine like terms: -36 + 36 = 0 0 + -6.5x = 3 + 36 -6.5x = 3 + 36 Combine like terms: 3 + 36 = 39 -6.5x = 39 Divide each side by '-6.5'. x = -6 Simplifying x = -6
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