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Simplifying 4x + 5x + 23 + -17 = 7x + 2 + -9 + 18 Reorder the terms: 23 + -17 + 4x + 5x = 7x + 2 + -9 + 18 Combine like terms: 23 + -17 = 6 6 + 4x + 5x = 7x + 2 + -9 + 18 Combine like terms: 4x + 5x = 9x 6 + 9x = 7x + 2 + -9 + 18 Reorder the terms: 6 + 9x = 2 + -9 + 18 + 7x Combine like terms: 2 + -9 = -7 6 + 9x = -7 + 18 + 7x Combine like terms: -7 + 18 = 11 6 + 9x = 11 + 7x Solving 6 + 9x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 9x + -7x = 11 + 7x + -7x Combine like terms: 9x + -7x = 2x 6 + 2x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 2x = 11 + 0 6 + 2x = 11 Add '-6' to each side of the equation. 6 + -6 + 2x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 11 + -6 2x = 11 + -6 Combine like terms: 11 + -6 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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