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Simplifying 6x + 58 = 11x + 13 Reorder the terms: 58 + 6x = 11x + 13 Reorder the terms: 58 + 6x = 13 + 11x Solving 58 + 6x = 13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 58 + 6x + -11x = 13 + 11x + -11x Combine like terms: 6x + -11x = -5x 58 + -5x = 13 + 11x + -11x Combine like terms: 11x + -11x = 0 58 + -5x = 13 + 0 58 + -5x = 13 Add '-58' to each side of the equation. 58 + -58 + -5x = 13 + -58 Combine like terms: 58 + -58 = 0 0 + -5x = 13 + -58 -5x = 13 + -58 Combine like terms: 13 + -58 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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