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Simplifying 8 + 10x + -7 = 9x + 17 + -3x Reorder the terms: 8 + -7 + 10x = 9x + 17 + -3x Combine like terms: 8 + -7 = 1 1 + 10x = 9x + 17 + -3x Reorder the terms: 1 + 10x = 17 + 9x + -3x Combine like terms: 9x + -3x = 6x 1 + 10x = 17 + 6x Solving 1 + 10x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 10x + -6x = 17 + 6x + -6x Combine like terms: 10x + -6x = 4x 1 + 4x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 4x = 17 + 0 1 + 4x = 17 Add '-1' to each side of the equation. 1 + -1 + 4x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 17 + -1 4x = 17 + -1 Combine like terms: 17 + -1 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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