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Simplifying 6x + 6 + x = 5 + 3x + 13 Reorder the terms: 6 + 6x + x = 5 + 3x + 13 Combine like terms: 6x + x = 7x 6 + 7x = 5 + 3x + 13 Reorder the terms: 6 + 7x = 5 + 13 + 3x Combine like terms: 5 + 13 = 18 6 + 7x = 18 + 3x Solving 6 + 7x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 7x + -3x = 18 + 3x + -3x Combine like terms: 7x + -3x = 4x 6 + 4x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 4x = 18 + 0 6 + 4x = 18 Add '-6' to each side of the equation. 6 + -6 + 4x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 18 + -6 4x = 18 + -6 Combine like terms: 18 + -6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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