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Simplifying -4x + 7(1 + 0.5x) = 9 -4x + (1 * 7 + 0.5x * 7) = 9 -4x + (7 + 3.5x) = 9 Reorder the terms: 7 + -4x + 3.5x = 9 Combine like terms: -4x + 3.5x = -0.5x 7 + -0.5x = 9 Solving 7 + -0.5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -0.5x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5x = 9 + -7 -0.5x = 9 + -7 Combine like terms: 9 + -7 = 2 -0.5x = 2 Divide each side by '-0.5'. x = -4 Simplifying x = -4
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