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Simplifying 8x + -7 + 7x = 9 + 4x + -5 Reorder the terms: -7 + 8x + 7x = 9 + 4x + -5 Combine like terms: 8x + 7x = 15x -7 + 15x = 9 + 4x + -5 Reorder the terms: -7 + 15x = 9 + -5 + 4x Combine like terms: 9 + -5 = 4 -7 + 15x = 4 + 4x Solving -7 + 15x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 15x + -4x = 4 + 4x + -4x Combine like terms: 15x + -4x = 11x -7 + 11x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 11x = 4 + 0 -7 + 11x = 4 Add '7' to each side of the equation. -7 + 7 + 11x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 4 + 7 11x = 4 + 7 Combine like terms: 4 + 7 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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