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Simplifying 6(7 + -1x) + x = 36 + x (7 * 6 + -1x * 6) + x = 36 + x (42 + -6x) + x = 36 + x Combine like terms: -6x + x = -5x 42 + -5x = 36 + x Solving 42 + -5x = 36 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + -5x + -1x = 36 + x + -1x Combine like terms: -5x + -1x = -6x 42 + -6x = 36 + x + -1x Combine like terms: x + -1x = 0 42 + -6x = 36 + 0 42 + -6x = 36 Add '-42' to each side of the equation. 42 + -42 + -6x = 36 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 36 + -42 -6x = 36 + -42 Combine like terms: 36 + -42 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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