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Simplifying 8x + 5 + -1x + 7 = 9x + 10 + -6 Reorder the terms: 5 + 7 + 8x + -1x = 9x + 10 + -6 Combine like terms: 5 + 7 = 12 12 + 8x + -1x = 9x + 10 + -6 Combine like terms: 8x + -1x = 7x 12 + 7x = 9x + 10 + -6 Reorder the terms: 12 + 7x = 10 + -6 + 9x Combine like terms: 10 + -6 = 4 12 + 7x = 4 + 9x Solving 12 + 7x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 7x + -9x = 4 + 9x + -9x Combine like terms: 7x + -9x = -2x 12 + -2x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -2x = 4 + 0 12 + -2x = 4 Add '-12' to each side of the equation. 12 + -12 + -2x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 4 + -12 -2x = 4 + -12 Combine like terms: 4 + -12 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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