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Simplifying (7x + 4) + -1(x + -9) = 1 Reorder the terms: (4 + 7x) + -1(x + -9) = 1 Remove parenthesis around (4 + 7x) 4 + 7x + -1(x + -9) = 1 Reorder the terms: 4 + 7x + -1(-9 + x) = 1 4 + 7x + (-9 * -1 + x * -1) = 1 4 + 7x + (9 + -1x) = 1 Reorder the terms: 4 + 9 + 7x + -1x = 1 Combine like terms: 4 + 9 = 13 13 + 7x + -1x = 1 Combine like terms: 7x + -1x = 6x 13 + 6x = 1 Solving 13 + 6x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 1 + -13 6x = 1 + -13 Combine like terms: 1 + -13 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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