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Simplifying 5x + 5 + 6x + 12 = 7x + 21 Reorder the terms: 5 + 12 + 5x + 6x = 7x + 21 Combine like terms: 5 + 12 = 17 17 + 5x + 6x = 7x + 21 Combine like terms: 5x + 6x = 11x 17 + 11x = 7x + 21 Reorder the terms: 17 + 11x = 21 + 7x Solving 17 + 11x = 21 + 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. 17 + 11x + -7x = 21 + 7x + -7x Combine like terms: 11x + -7x = 4x 17 + 4x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + 4x = 21 + 0 17 + 4x = 21 Add '-17' to each side of the equation. 17 + -17 + 4x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 21 + -17 4x = 21 + -17 Combine like terms: 21 + -17 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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