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Simplifying 4x + 30 + 4x + 31 = 117 Reorder the terms: 30 + 31 + 4x + 4x = 117 Combine like terms: 30 + 31 = 61 61 + 4x + 4x = 117 Combine like terms: 4x + 4x = 8x 61 + 8x = 117 Solving 61 + 8x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 8x = 117 + -61 Combine like terms: 61 + -61 = 0 0 + 8x = 117 + -61 8x = 117 + -61 Combine like terms: 117 + -61 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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