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Simplifying 2(x + -1) = 9 + -7(3 + -4x) Reorder the terms: 2(-1 + x) = 9 + -7(3 + -4x) (-1 * 2 + x * 2) = 9 + -7(3 + -4x) (-2 + 2x) = 9 + -7(3 + -4x) -2 + 2x = 9 + (3 * -7 + -4x * -7) -2 + 2x = 9 + (-21 + 28x) Combine like terms: 9 + -21 = -12 -2 + 2x = -12 + 28x Solving -2 + 2x = -12 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -2 + 2x + -28x = -12 + 28x + -28x Combine like terms: 2x + -28x = -26x -2 + -26x = -12 + 28x + -28x Combine like terms: 28x + -28x = 0 -2 + -26x = -12 + 0 -2 + -26x = -12 Add '2' to each side of the equation. -2 + 2 + -26x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -26x = -12 + 2 -26x = -12 + 2 Combine like terms: -12 + 2 = -10 -26x = -10 Divide each side by '-26'. x = 0.3846153846 Simplifying x = 0.3846153846
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