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