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Simplifying 6 + 17x + -4 = 8x + 47 + -6x Reorder the terms: 6 + -4 + 17x = 8x + 47 + -6x Combine like terms: 6 + -4 = 2 2 + 17x = 8x + 47 + -6x Reorder the terms: 2 + 17x = 47 + 8x + -6x Combine like terms: 8x + -6x = 2x 2 + 17x = 47 + 2x Solving 2 + 17x = 47 + 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. 2 + 17x + -2x = 47 + 2x + -2x Combine like terms: 17x + -2x = 15x 2 + 15x = 47 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 15x = 47 + 0 2 + 15x = 47 Add '-2' to each side of the equation. 2 + -2 + 15x = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 47 + -2 15x = 47 + -2 Combine like terms: 47 + -2 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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