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Simplifying 3 + -7(1 + -2x) = 5 + -1(x + 9) 3 + (1 * -7 + -2x * -7) = 5 + -1(x + 9) 3 + (-7 + 14x) = 5 + -1(x + 9) Combine like terms: 3 + -7 = -4 -4 + 14x = 5 + -1(x + 9) Reorder the terms: -4 + 14x = 5 + -1(9 + x) -4 + 14x = 5 + (9 * -1 + x * -1) -4 + 14x = 5 + (-9 + -1x) Combine like terms: 5 + -9 = -4 -4 + 14x = -4 + -1x Add '4' to each side of the equation. -4 + 4 + 14x = -4 + 4 + -1x Combine like terms: -4 + 4 = 0 0 + 14x = -4 + 4 + -1x 14x = -4 + 4 + -1x Combine like terms: -4 + 4 = 0 14x = 0 + -1x 14x = -1x Solving 14x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14x + x = -1x + x Combine like terms: 14x + x = 15x 15x = -1x + x Combine like terms: -1x + x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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