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Simplifying 4(5 + -2x) + -3 = 8x + -113 (5 * 4 + -2x * 4) + -3 = 8x + -113 (20 + -8x) + -3 = 8x + -113 Reorder the terms: 20 + -3 + -8x = 8x + -113 Combine like terms: 20 + -3 = 17 17 + -8x = 8x + -113 Reorder the terms: 17 + -8x = -113 + 8x Solving 17 + -8x = -113 + 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. 17 + -8x + -8x = -113 + 8x + -8x Combine like terms: -8x + -8x = -16x 17 + -16x = -113 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -16x = -113 + 0 17 + -16x = -113 Add '-17' to each side of the equation. 17 + -17 + -16x = -113 + -17 Combine like terms: 17 + -17 = 0 0 + -16x = -113 + -17 -16x = -113 + -17 Combine like terms: -113 + -17 = -130 -16x = -130 Divide each side by '-16'. x = 8.125 Simplifying x = 8.125
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