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Simplifying 117 + -7x = 20x + -21 Reorder the terms: 117 + -7x = -21 + 20x Solving 117 + -7x = -21 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 117 + -7x + -20x = -21 + 20x + -20x Combine like terms: -7x + -20x = -27x 117 + -27x = -21 + 20x + -20x Combine like terms: 20x + -20x = 0 117 + -27x = -21 + 0 117 + -27x = -21 Add '-117' to each side of the equation. 117 + -117 + -27x = -21 + -117 Combine like terms: 117 + -117 = 0 0 + -27x = -21 + -117 -27x = -21 + -117 Combine like terms: -21 + -117 = -138 -27x = -138 Divide each side by '-27'. x = 5.111111111 Simplifying x = 5.111111111
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