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Simplifying 18x + 15 + -15x + 26 = -4x + 7 + 9x + 6 Reorder the terms: 15 + 26 + 18x + -15x = -4x + 7 + 9x + 6 Combine like terms: 15 + 26 = 41 41 + 18x + -15x = -4x + 7 + 9x + 6 Combine like terms: 18x + -15x = 3x 41 + 3x = -4x + 7 + 9x + 6 Reorder the terms: 41 + 3x = 7 + 6 + -4x + 9x Combine like terms: 7 + 6 = 13 41 + 3x = 13 + -4x + 9x Combine like terms: -4x + 9x = 5x 41 + 3x = 13 + 5x Solving 41 + 3x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 41 + 3x + -5x = 13 + 5x + -5x Combine like terms: 3x + -5x = -2x 41 + -2x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + -2x = 13 + 0 41 + -2x = 13 Add '-41' to each side of the equation. 41 + -41 + -2x = 13 + -41 Combine like terms: 41 + -41 = 0 0 + -2x = 13 + -41 -2x = 13 + -41 Combine like terms: 13 + -41 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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