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Simplifying 5 + -1x + 1 + 1 + 2x = 6 + -2x + 9 Reorder the terms: 5 + 1 + 1 + -1x + 2x = 6 + -2x + 9 Combine like terms: 5 + 1 = 6 6 + 1 + -1x + 2x = 6 + -2x + 9 Combine like terms: 6 + 1 = 7 7 + -1x + 2x = 6 + -2x + 9 Combine like terms: -1x + 2x = 1x 7 + 1x = 6 + -2x + 9 Reorder the terms: 7 + 1x = 6 + 9 + -2x Combine like terms: 6 + 9 = 15 7 + 1x = 15 + -2x Solving 7 + 1x = 15 + -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. 7 + 1x + 2x = 15 + -2x + 2x Combine like terms: 1x + 2x = 3x 7 + 3x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 3x = 15 + 0 7 + 3x = 15 Add '-7' to each side of the equation. 7 + -7 + 3x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 15 + -7 3x = 15 + -7 Combine like terms: 15 + -7 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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