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Simplifying 9x + -10 + 1 = 3x + 7 + -1x + 6 Reorder the terms: -10 + 1 + 9x = 3x + 7 + -1x + 6 Combine like terms: -10 + 1 = -9 -9 + 9x = 3x + 7 + -1x + 6 Reorder the terms: -9 + 9x = 7 + 6 + 3x + -1x Combine like terms: 7 + 6 = 13 -9 + 9x = 13 + 3x + -1x Combine like terms: 3x + -1x = 2x -9 + 9x = 13 + 2x Solving -9 + 9x = 13 + 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. -9 + 9x + -2x = 13 + 2x + -2x Combine like terms: 9x + -2x = 7x -9 + 7x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 7x = 13 + 0 -9 + 7x = 13 Add '9' to each side of the equation. -9 + 9 + 7x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 13 + 9 7x = 13 + 9 Combine like terms: 13 + 9 = 22 7x = 22 Divide each side by '7'. x = 3.142857143 Simplifying x = 3.142857143
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