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Simplifying 12 + 2x + 11 = 2x + 15 + -4x Reorder the terms: 12 + 11 + 2x = 2x + 15 + -4x Combine like terms: 12 + 11 = 23 23 + 2x = 2x + 15 + -4x Reorder the terms: 23 + 2x = 15 + 2x + -4x Combine like terms: 2x + -4x = -2x 23 + 2x = 15 + -2x Solving 23 + 2x = 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. 23 + 2x + 2x = 15 + -2x + 2x Combine like terms: 2x + 2x = 4x 23 + 4x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + 4x = 15 + 0 23 + 4x = 15 Add '-23' to each side of the equation. 23 + -23 + 4x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 15 + -23 4x = 15 + -23 Combine like terms: 15 + -23 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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