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Simplifying 15x + -450 + 32x + 480 = 8x + 1200 + 468 Reorder the terms: -450 + 480 + 15x + 32x = 8x + 1200 + 468 Combine like terms: -450 + 480 = 30 30 + 15x + 32x = 8x + 1200 + 468 Combine like terms: 15x + 32x = 47x 30 + 47x = 8x + 1200 + 468 Reorder the terms: 30 + 47x = 1200 + 468 + 8x Combine like terms: 1200 + 468 = 1668 30 + 47x = 1668 + 8x Solving 30 + 47x = 1668 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 47x + -8x = 1668 + 8x + -8x Combine like terms: 47x + -8x = 39x 30 + 39x = 1668 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 39x = 1668 + 0 30 + 39x = 1668 Add '-30' to each side of the equation. 30 + -30 + 39x = 1668 + -30 Combine like terms: 30 + -30 = 0 0 + 39x = 1668 + -30 39x = 1668 + -30 Combine like terms: 1668 + -30 = 1638 39x = 1638 Divide each side by '39'. x = 42 Simplifying x = 42
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