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Simplifying 8x + -4 + 9x + 17 = 10x + 34 Reorder the terms: -4 + 17 + 8x + 9x = 10x + 34 Combine like terms: -4 + 17 = 13 13 + 8x + 9x = 10x + 34 Combine like terms: 8x + 9x = 17x 13 + 17x = 10x + 34 Reorder the terms: 13 + 17x = 34 + 10x Solving 13 + 17x = 34 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + 17x + -10x = 34 + 10x + -10x Combine like terms: 17x + -10x = 7x 13 + 7x = 34 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + 7x = 34 + 0 13 + 7x = 34 Add '-13' to each side of the equation. 13 + -13 + 7x = 34 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 34 + -13 7x = 34 + -13 Combine like terms: 34 + -13 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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