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Simplifying 117 = 4(5x + -7) + 5 Reorder the terms: 117 = 4(-7 + 5x) + 5 117 = (-7 * 4 + 5x * 4) + 5 117 = (-28 + 20x) + 5 Reorder the terms: 117 = -28 + 5 + 20x Combine like terms: -28 + 5 = -23 117 = -23 + 20x Solving 117 = -23 + 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 + -20x = -23 + 20x + -20x Combine like terms: 20x + -20x = 0 117 + -20x = -23 + 0 117 + -20x = -23 Add '-117' to each side of the equation. 117 + -117 + -20x = -23 + -117 Combine like terms: 117 + -117 = 0 0 + -20x = -23 + -117 -20x = -23 + -117 Combine like terms: -23 + -117 = -140 -20x = -140 Divide each side by '-20'. x = 7 Simplifying x = 7
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