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Simplifying 7 + (-7x + (-5)) = 3(4 + -2x) + -9 7 + (-7x + -5) = 3(4 + -2x) + -9 Reorder the terms: 7 + (-5 + -7x) = 3(4 + -2x) + -9 Remove parenthesis around (-5 + -7x) 7 + -5 + -7x = 3(4 + -2x) + -9 Combine like terms: 7 + -5 = 2 2 + -7x = 3(4 + -2x) + -9 2 + -7x = (4 * 3 + -2x * 3) + -9 2 + -7x = (12 + -6x) + -9 Reorder the terms: 2 + -7x = 12 + -9 + -6x Combine like terms: 12 + -9 = 3 2 + -7x = 3 + -6x Solving 2 + -7x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + -7x + 6x = 3 + -6x + 6x Combine like terms: -7x + 6x = -1x 2 + -1x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + -1x = 3 + 0 2 + -1x = 3 Add '-2' to each side of the equation. 2 + -2 + -1x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 3 + -2 -1x = 3 + -2 Combine like terms: 3 + -2 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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