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Simplifying -7(1 + -4x) = 3(3x + -9) (1 * -7 + -4x * -7) = 3(3x + -9) (-7 + 28x) = 3(3x + -9) Reorder the terms: -7 + 28x = 3(-9 + 3x) -7 + 28x = (-9 * 3 + 3x * 3) -7 + 28x = (-27 + 9x) Solving -7 + 28x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 28x + -9x = -27 + 9x + -9x Combine like terms: 28x + -9x = 19x -7 + 19x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + 19x = -27 + 0 -7 + 19x = -27 Add '7' to each side of the equation. -7 + 7 + 19x = -27 + 7 Combine like terms: -7 + 7 = 0 0 + 19x = -27 + 7 19x = -27 + 7 Combine like terms: -27 + 7 = -20 19x = -20 Divide each side by '19'. x = -1.052631579 Simplifying x = -1.052631579
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