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Simplifying 7 + 3x + 6 = 7x + -5 + 5x Reorder the terms: 7 + 6 + 3x = 7x + -5 + 5x Combine like terms: 7 + 6 = 13 13 + 3x = 7x + -5 + 5x Reorder the terms: 13 + 3x = -5 + 7x + 5x Combine like terms: 7x + 5x = 12x 13 + 3x = -5 + 12x Solving 13 + 3x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13 + 3x + -12x = -5 + 12x + -12x Combine like terms: 3x + -12x = -9x 13 + -9x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -9x = -5 + 0 13 + -9x = -5 Add '-13' to each side of the equation. 13 + -13 + -9x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = -5 + -13 -9x = -5 + -13 Combine like terms: -5 + -13 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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