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Simplifying 7x + 4 + 15x + -5 = 8x + 4 + 9 Reorder the terms: 4 + -5 + 7x + 15x = 8x + 4 + 9 Combine like terms: 4 + -5 = -1 -1 + 7x + 15x = 8x + 4 + 9 Combine like terms: 7x + 15x = 22x -1 + 22x = 8x + 4 + 9 Reorder the terms: -1 + 22x = 4 + 9 + 8x Combine like terms: 4 + 9 = 13 -1 + 22x = 13 + 8x Solving -1 + 22x = 13 + 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. -1 + 22x + -8x = 13 + 8x + -8x Combine like terms: 22x + -8x = 14x -1 + 14x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 14x = 13 + 0 -1 + 14x = 13 Add '1' to each side of the equation. -1 + 1 + 14x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = 13 + 1 14x = 13 + 1 Combine like terms: 13 + 1 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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