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Simplifying 5x + 9 + -7x + 6 = x + 18 Reorder the terms: 9 + 6 + 5x + -7x = x + 18 Combine like terms: 9 + 6 = 15 15 + 5x + -7x = x + 18 Combine like terms: 5x + -7x = -2x 15 + -2x = x + 18 Reorder the terms: 15 + -2x = 18 + x Solving 15 + -2x = 18 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -2x + -1x = 18 + x + -1x Combine like terms: -2x + -1x = -3x 15 + -3x = 18 + x + -1x Combine like terms: x + -1x = 0 15 + -3x = 18 + 0 15 + -3x = 18 Add '-15' to each side of the equation. 15 + -15 + -3x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 18 + -15 -3x = 18 + -15 Combine like terms: 18 + -15 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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