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Simplifying 7x + -1(9 + -4x) = 3(x + -1) 7x + (9 * -1 + -4x * -1) = 3(x + -1) 7x + (-9 + 4x) = 3(x + -1) Reorder the terms: -9 + 7x + 4x = 3(x + -1) Combine like terms: 7x + 4x = 11x -9 + 11x = 3(x + -1) Reorder the terms: -9 + 11x = 3(-1 + x) -9 + 11x = (-1 * 3 + x * 3) -9 + 11x = (-3 + 3x) Solving -9 + 11x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 11x + -3x = -3 + 3x + -3x Combine like terms: 11x + -3x = 8x -9 + 8x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 8x = -3 + 0 -9 + 8x = -3 Add '9' to each side of the equation. -9 + 9 + 8x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -3 + 9 8x = -3 + 9 Combine like terms: -3 + 9 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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