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Simplifying 11x + -13 = 5(x + 7) Reorder the terms: -13 + 11x = 5(x + 7) Reorder the terms: -13 + 11x = 5(7 + x) -13 + 11x = (7 * 5 + x * 5) -13 + 11x = (35 + 5x) Solving -13 + 11x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + 11x + -5x = 35 + 5x + -5x Combine like terms: 11x + -5x = 6x -13 + 6x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 6x = 35 + 0 -13 + 6x = 35 Add '13' to each side of the equation. -13 + 13 + 6x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 35 + 13 6x = 35 + 13 Combine like terms: 35 + 13 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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