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Simplifying 11x + 29 = 3x + 117 Reorder the terms: 29 + 11x = 3x + 117 Reorder the terms: 29 + 11x = 117 + 3x Solving 29 + 11x = 117 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + 11x + -3x = 117 + 3x + -3x Combine like terms: 11x + -3x = 8x 29 + 8x = 117 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + 8x = 117 + 0 29 + 8x = 117 Add '-29' to each side of the equation. 29 + -29 + 8x = 117 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = 117 + -29 8x = 117 + -29 Combine like terms: 117 + -29 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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