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Simplifying x * 5 + 11 = x * 7 + -13 Reorder the terms for easier multiplication: 5x + 11 = x * 7 + -13 Reorder the terms: 11 + 5x = x * 7 + -13 Reorder the terms for easier multiplication: 11 + 5x = 7x + -13 Reorder the terms: 11 + 5x = -13 + 7x Solving 11 + 5x = -13 + 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. 11 + 5x + -7x = -13 + 7x + -7x Combine like terms: 5x + -7x = -2x 11 + -2x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -2x = -13 + 0 11 + -2x = -13 Add '-11' to each side of the equation. 11 + -11 + -2x = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -13 + -11 -2x = -13 + -11 Combine like terms: -13 + -11 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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