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Simplifying 12x + 500 = 16x + 320 Reorder the terms: 500 + 12x = 16x + 320 Reorder the terms: 500 + 12x = 320 + 16x Solving 500 + 12x = 320 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 500 + 12x + -16x = 320 + 16x + -16x Combine like terms: 12x + -16x = -4x 500 + -4x = 320 + 16x + -16x Combine like terms: 16x + -16x = 0 500 + -4x = 320 + 0 500 + -4x = 320 Add '-500' to each side of the equation. 500 + -500 + -4x = 320 + -500 Combine like terms: 500 + -500 = 0 0 + -4x = 320 + -500 -4x = 320 + -500 Combine like terms: 320 + -500 = -180 -4x = -180 Divide each side by '-4'. x = 45 Simplifying x = 45
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