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Simplifying 6(7 + -1x) + x = 446 + -1x (7 * 6 + -1x * 6) + x = 446 + -1x (42 + -6x) + x = 446 + -1x Combine like terms: -6x + x = -5x 42 + -5x = 446 + -1x Solving 42 + -5x = 446 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + -5x + x = 446 + -1x + x Combine like terms: -5x + x = -4x 42 + -4x = 446 + -1x + x Combine like terms: -1x + x = 0 42 + -4x = 446 + 0 42 + -4x = 446 Add '-42' to each side of the equation. 42 + -42 + -4x = 446 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 446 + -42 -4x = 446 + -42 Combine like terms: 446 + -42 = 404 -4x = 404 Divide each side by '-4'. x = -101 Simplifying x = -101
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