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Simplifying 35 + -1(21x + -126) = 3x + 462 Reorder the terms: 35 + -1(-126 + 21x) = 3x + 462 35 + (-126 * -1 + 21x * -1) = 3x + 462 35 + (126 + -21x) = 3x + 462 Combine like terms: 35 + 126 = 161 161 + -21x = 3x + 462 Reorder the terms: 161 + -21x = 462 + 3x Solving 161 + -21x = 462 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 161 + -21x + -3x = 462 + 3x + -3x Combine like terms: -21x + -3x = -24x 161 + -24x = 462 + 3x + -3x Combine like terms: 3x + -3x = 0 161 + -24x = 462 + 0 161 + -24x = 462 Add '-161' to each side of the equation. 161 + -161 + -24x = 462 + -161 Combine like terms: 161 + -161 = 0 0 + -24x = 462 + -161 -24x = 462 + -161 Combine like terms: 462 + -161 = 301 -24x = 301 Divide each side by '-24'. x = -12.54166667 Simplifying x = -12.54166667
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