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Simplifying 0.5x + -7.5(x + -2) = 43 Reorder the terms: 0.5x + -7.5(-2 + x) = 43 0.5x + (-2 * -7.5 + x * -7.5) = 43 0.5x + (15 + -7.5x) = 43 Reorder the terms: 15 + 0.5x + -7.5x = 43 Combine like terms: 0.5x + -7.5x = -7x 15 + -7x = 43 Solving 15 + -7x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7x = 43 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 43 + -15 -7x = 43 + -15 Combine like terms: 43 + -15 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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