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Simplifying -3(1 + -3x) = 2(-4x + 7) (1 * -3 + -3x * -3) = 2(-4x + 7) (-3 + 9x) = 2(-4x + 7) Reorder the terms: -3 + 9x = 2(7 + -4x) -3 + 9x = (7 * 2 + -4x * 2) -3 + 9x = (14 + -8x) Solving -3 + 9x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + 9x + 8x = 14 + -8x + 8x Combine like terms: 9x + 8x = 17x -3 + 17x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 17x = 14 + 0 -3 + 17x = 14 Add '3' to each side of the equation. -3 + 3 + 17x = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 17x = 14 + 3 17x = 14 + 3 Combine like terms: 14 + 3 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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