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Simplifying 6(7 + -1x) = 9(6 + -1x) (7 * 6 + -1x * 6) = 9(6 + -1x) (42 + -6x) = 9(6 + -1x) 42 + -6x = (6 * 9 + -1x * 9) 42 + -6x = (54 + -9x) Solving 42 + -6x = 54 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 42 + -6x + 9x = 54 + -9x + 9x Combine like terms: -6x + 9x = 3x 42 + 3x = 54 + -9x + 9x Combine like terms: -9x + 9x = 0 42 + 3x = 54 + 0 42 + 3x = 54 Add '-42' to each side of the equation. 42 + -42 + 3x = 54 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 54 + -42 3x = 54 + -42 Combine like terms: 54 + -42 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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