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Simplifying 5x + 15 + 1 = 6x + -1 + 11 Reorder the terms: 15 + 1 + 5x = 6x + -1 + 11 Combine like terms: 15 + 1 = 16 16 + 5x = 6x + -1 + 11 Reorder the terms: 16 + 5x = -1 + 11 + 6x Combine like terms: -1 + 11 = 10 16 + 5x = 10 + 6x Solving 16 + 5x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + 5x + -6x = 10 + 6x + -6x Combine like terms: 5x + -6x = -1x 16 + -1x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -1x = 10 + 0 16 + -1x = 10 Add '-16' to each side of the equation. 16 + -16 + -1x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 10 + -16 -1x = 10 + -16 Combine like terms: 10 + -16 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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