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Simplifying 3x + 7 = 9x + -5 + 6x Reorder the terms: 7 + 3x = 9x + -5 + 6x Reorder the terms: 7 + 3x = -5 + 9x + 6x Combine like terms: 9x + 6x = 15x 7 + 3x = -5 + 15x Solving 7 + 3x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 7 + 3x + -15x = -5 + 15x + -15x Combine like terms: 3x + -15x = -12x 7 + -12x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -12x = -5 + 0 7 + -12x = -5 Add '-7' to each side of the equation. 7 + -7 + -12x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = -5 + -7 -12x = -5 + -7 Combine like terms: -5 + -7 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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