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Simplifying 6x + -7 + 2x + 8 = x + 5 + -2x + 12 Reorder the terms: -7 + 8 + 6x + 2x = x + 5 + -2x + 12 Combine like terms: -7 + 8 = 1 1 + 6x + 2x = x + 5 + -2x + 12 Combine like terms: 6x + 2x = 8x 1 + 8x = x + 5 + -2x + 12 Reorder the terms: 1 + 8x = 5 + 12 + x + -2x Combine like terms: 5 + 12 = 17 1 + 8x = 17 + x + -2x Combine like terms: x + -2x = -1x 1 + 8x = 17 + -1x Solving 1 + 8x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 8x + x = 17 + -1x + x Combine like terms: 8x + x = 9x 1 + 9x = 17 + -1x + x Combine like terms: -1x + x = 0 1 + 9x = 17 + 0 1 + 9x = 17 Add '-1' to each side of the equation. 1 + -1 + 9x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 17 + -1 9x = 17 + -1 Combine like terms: 17 + -1 = 16 9x = 16 Divide each side by '9'. x = 1.777777778 Simplifying x = 1.777777778
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