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Simplifying 224 = 3x + 7(7x + -20) Reorder the terms: 224 = 3x + 7(-20 + 7x) 224 = 3x + (-20 * 7 + 7x * 7) 224 = 3x + (-140 + 49x) Reorder the terms: 224 = -140 + 3x + 49x Combine like terms: 3x + 49x = 52x 224 = -140 + 52x Solving 224 = -140 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 224 + -52x = -140 + 52x + -52x Combine like terms: 52x + -52x = 0 224 + -52x = -140 + 0 224 + -52x = -140 Add '-224' to each side of the equation. 224 + -224 + -52x = -140 + -224 Combine like terms: 224 + -224 = 0 0 + -52x = -140 + -224 -52x = -140 + -224 Combine like terms: -140 + -224 = -364 -52x = -364 Divide each side by '-52'. x = 7 Simplifying x = 7
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