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Simplifying 6x + 5x + 5 = 10x + 38 Reorder the terms: 5 + 6x + 5x = 10x + 38 Combine like terms: 6x + 5x = 11x 5 + 11x = 10x + 38 Reorder the terms: 5 + 11x = 38 + 10x Solving 5 + 11x = 38 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 11x + -10x = 38 + 10x + -10x Combine like terms: 11x + -10x = 1x 5 + 1x = 38 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 1x = 38 + 0 5 + 1x = 38 Add '-5' to each side of the equation. 5 + -5 + 1x = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 38 + -5 1x = 38 + -5 Combine like terms: 38 + -5 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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