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Simplifying 7[7 + -1(-3x + -4)] = 126x + 217 Reorder the terms: 7[7 + -1(-4 + -3x)] = 126x + 217 7[7 + (-4 * -1 + -3x * -1)] = 126x + 217 7[7 + (4 + 3x)] = 126x + 217 Combine like terms: 7 + 4 = 11 7[11 + 3x] = 126x + 217 [11 * 7 + 3x * 7] = 126x + 217 [77 + 21x] = 126x + 217 Reorder the terms: 77 + 21x = 217 + 126x Solving 77 + 21x = 217 + 126x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126x' to each side of the equation. 77 + 21x + -126x = 217 + 126x + -126x Combine like terms: 21x + -126x = -105x 77 + -105x = 217 + 126x + -126x Combine like terms: 126x + -126x = 0 77 + -105x = 217 + 0 77 + -105x = 217 Add '-77' to each side of the equation. 77 + -77 + -105x = 217 + -77 Combine like terms: 77 + -77 = 0 0 + -105x = 217 + -77 -105x = 217 + -77 Combine like terms: 217 + -77 = 140 -105x = 140 Divide each side by '-105'. x = -1.333333333 Simplifying x = -1.333333333
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