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Simplifying 5x + 7 + 5 = 2x + 4 + 11 Reorder the terms: 7 + 5 + 5x = 2x + 4 + 11 Combine like terms: 7 + 5 = 12 12 + 5x = 2x + 4 + 11 Reorder the terms: 12 + 5x = 4 + 11 + 2x Combine like terms: 4 + 11 = 15 12 + 5x = 15 + 2x Solving 12 + 5x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 5x + -2x = 15 + 2x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 3x = 15 + 0 12 + 3x = 15 Add '-12' to each side of the equation. 12 + -12 + 3x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 15 + -12 3x = 15 + -12 Combine like terms: 15 + -12 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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