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Simplifying (2x + 3) + (3x + 4) + (5x + 5) = 12 + -7x Reorder the terms: (3 + 2x) + (3x + 4) + (5x + 5) = 12 + -7x Remove parenthesis around (3 + 2x) 3 + 2x + (3x + 4) + (5x + 5) = 12 + -7x Reorder the terms: 3 + 2x + (4 + 3x) + (5x + 5) = 12 + -7x Remove parenthesis around (4 + 3x) 3 + 2x + 4 + 3x + (5x + 5) = 12 + -7x Reorder the terms: 3 + 2x + 4 + 3x + (5 + 5x) = 12 + -7x Remove parenthesis around (5 + 5x) 3 + 2x + 4 + 3x + 5 + 5x = 12 + -7x Reorder the terms: 3 + 4 + 5 + 2x + 3x + 5x = 12 + -7x Combine like terms: 3 + 4 = 7 7 + 5 + 2x + 3x + 5x = 12 + -7x Combine like terms: 7 + 5 = 12 12 + 2x + 3x + 5x = 12 + -7x Combine like terms: 2x + 3x = 5x 12 + 5x + 5x = 12 + -7x Combine like terms: 5x + 5x = 10x 12 + 10x = 12 + -7x Add '-12' to each side of the equation. 12 + -12 + 10x = 12 + -12 + -7x Combine like terms: 12 + -12 = 0 0 + 10x = 12 + -12 + -7x 10x = 12 + -12 + -7x Combine like terms: 12 + -12 = 0 10x = 0 + -7x 10x = -7x Solving 10x = -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. 10x + 7x = -7x + 7x Combine like terms: 10x + 7x = 17x 17x = -7x + 7x Combine like terms: -7x + 7x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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