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Simplifying 7[4 + -1(-3x + -5)] = 126x + 238 Reorder the terms: 7[4 + -1(-5 + -3x)] = 126x + 238 7[4 + (-5 * -1 + -3x * -1)] = 126x + 238 7[4 + (5 + 3x)] = 126x + 238 Combine like terms: 4 + 5 = 9 7[9 + 3x] = 126x + 238 [9 * 7 + 3x * 7] = 126x + 238 [63 + 21x] = 126x + 238 Reorder the terms: 63 + 21x = 238 + 126x Solving 63 + 21x = 238 + 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. 63 + 21x + -126x = 238 + 126x + -126x Combine like terms: 21x + -126x = -105x 63 + -105x = 238 + 126x + -126x Combine like terms: 126x + -126x = 0 63 + -105x = 238 + 0 63 + -105x = 238 Add '-63' to each side of the equation. 63 + -63 + -105x = 238 + -63 Combine like terms: 63 + -63 = 0 0 + -105x = 238 + -63 -105x = 238 + -63 Combine like terms: 238 + -63 = 175 -105x = 175 Divide each side by '-105'. x = -1.666666667 Simplifying x = -1.666666667
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