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Simplifying 7 + 17x + -1 = 8x + 51 + -6x Reorder the terms: 7 + -1 + 17x = 8x + 51 + -6x Combine like terms: 7 + -1 = 6 6 + 17x = 8x + 51 + -6x Reorder the terms: 6 + 17x = 51 + 8x + -6x Combine like terms: 8x + -6x = 2x 6 + 17x = 51 + 2x Solving 6 + 17x = 51 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 17x + -2x = 51 + 2x + -2x Combine like terms: 17x + -2x = 15x 6 + 15x = 51 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 15x = 51 + 0 6 + 15x = 51 Add '-6' to each side of the equation. 6 + -6 + 15x = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 51 + -6 15x = 51 + -6 Combine like terms: 51 + -6 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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