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Simplifying 4x + 8(45 + 4x) = 36 4x + (45 * 8 + 4x * 8) = 36 4x + (360 + 32x) = 36 Reorder the terms: 360 + 4x + 32x = 36 Combine like terms: 4x + 32x = 36x 360 + 36x = 36 Solving 360 + 36x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-360' to each side of the equation. 360 + -360 + 36x = 36 + -360 Combine like terms: 360 + -360 = 0 0 + 36x = 36 + -360 36x = 36 + -360 Combine like terms: 36 + -360 = -324 36x = -324 Divide each side by '36'. x = -9 Simplifying x = -9
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