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Simplifying 6x + 13 = 5(x + 11) Reorder the terms: 13 + 6x = 5(x + 11) Reorder the terms: 13 + 6x = 5(11 + x) 13 + 6x = (11 * 5 + x * 5) 13 + 6x = (55 + 5x) Solving 13 + 6x = 55 + 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 + 6x + -5x = 55 + 5x + -5x Combine like terms: 6x + -5x = 1x 13 + 1x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 1x = 55 + 0 13 + 1x = 55 Add '-13' to each side of the equation. 13 + -13 + 1x = 55 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 55 + -13 1x = 55 + -13 Combine like terms: 55 + -13 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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