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Simplifying 15x + 1200 = 30x + 500 Reorder the terms: 1200 + 15x = 30x + 500 Reorder the terms: 1200 + 15x = 500 + 30x Solving 1200 + 15x = 500 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 1200 + 15x + -30x = 500 + 30x + -30x Combine like terms: 15x + -30x = -15x 1200 + -15x = 500 + 30x + -30x Combine like terms: 30x + -30x = 0 1200 + -15x = 500 + 0 1200 + -15x = 500 Add '-1200' to each side of the equation. 1200 + -1200 + -15x = 500 + -1200 Combine like terms: 1200 + -1200 = 0 0 + -15x = 500 + -1200 -15x = 500 + -1200 Combine like terms: 500 + -1200 = -700 -15x = -700 Divide each side by '-15'. x = 46.66666667 Simplifying x = 46.66666667
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