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Simplifying 2x + 29 + 11 = 8x + 30 Reorder the terms: 29 + 11 + 2x = 8x + 30 Combine like terms: 29 + 11 = 40 40 + 2x = 8x + 30 Reorder the terms: 40 + 2x = 30 + 8x Solving 40 + 2x = 30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 40 + 2x + -8x = 30 + 8x + -8x Combine like terms: 2x + -8x = -6x 40 + -6x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + -6x = 30 + 0 40 + -6x = 30 Add '-40' to each side of the equation. 40 + -40 + -6x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -6x = 30 + -40 -6x = 30 + -40 Combine like terms: 30 + -40 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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