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Simplifying 15x + -7 = 8x + 16 + 47 Reorder the terms: -7 + 15x = 8x + 16 + 47 Reorder the terms: -7 + 15x = 16 + 47 + 8x Combine like terms: 16 + 47 = 63 -7 + 15x = 63 + 8x Solving -7 + 15x = 63 + 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. -7 + 15x + -8x = 63 + 8x + -8x Combine like terms: 15x + -8x = 7x -7 + 7x = 63 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 7x = 63 + 0 -7 + 7x = 63 Add '7' to each side of the equation. -7 + 7 + 7x = 63 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 63 + 7 7x = 63 + 7 Combine like terms: 63 + 7 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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