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Simplifying 5x + 11 = 12x + -10 Reorder the terms: 11 + 5x = 12x + -10 Reorder the terms: 11 + 5x = -10 + 12x Solving 11 + 5x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 11 + 5x + -12x = -10 + 12x + -12x Combine like terms: 5x + -12x = -7x 11 + -7x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -7x = -10 + 0 11 + -7x = -10 Add '-11' to each side of the equation. 11 + -11 + -7x = -10 + -11 Combine like terms: 11 + -11 = 0 0 + -7x = -10 + -11 -7x = -10 + -11 Combine like terms: -10 + -11 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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