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Simplifying 15x + 7 + -2x + 18 = 3x + 50 + 6x + -9 Reorder the terms: 7 + 18 + 15x + -2x = 3x + 50 + 6x + -9 Combine like terms: 7 + 18 = 25 25 + 15x + -2x = 3x + 50 + 6x + -9 Combine like terms: 15x + -2x = 13x 25 + 13x = 3x + 50 + 6x + -9 Reorder the terms: 25 + 13x = 50 + -9 + 3x + 6x Combine like terms: 50 + -9 = 41 25 + 13x = 41 + 3x + 6x Combine like terms: 3x + 6x = 9x 25 + 13x = 41 + 9x Solving 25 + 13x = 41 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + 13x + -9x = 41 + 9x + -9x Combine like terms: 13x + -9x = 4x 25 + 4x = 41 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + 4x = 41 + 0 25 + 4x = 41 Add '-25' to each side of the equation. 25 + -25 + 4x = 41 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 41 + -25 4x = 41 + -25 Combine like terms: 41 + -25 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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