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Simplifying 6 + 17x + -3 = 8x + 78 + -6x Reorder the terms: 6 + -3 + 17x = 8x + 78 + -6x Combine like terms: 6 + -3 = 3 3 + 17x = 8x + 78 + -6x Reorder the terms: 3 + 17x = 78 + 8x + -6x Combine like terms: 8x + -6x = 2x 3 + 17x = 78 + 2x Solving 3 + 17x = 78 + 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. 3 + 17x + -2x = 78 + 2x + -2x Combine like terms: 17x + -2x = 15x 3 + 15x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 15x = 78 + 0 3 + 15x = 78 Add '-3' to each side of the equation. 3 + -3 + 15x = 78 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = 78 + -3 15x = 78 + -3 Combine like terms: 78 + -3 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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