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Simplifying 3(3x + -1) = 4(2x + -1) Reorder the terms: 3(-1 + 3x) = 4(2x + -1) (-1 * 3 + 3x * 3) = 4(2x + -1) (-3 + 9x) = 4(2x + -1) Reorder the terms: -3 + 9x = 4(-1 + 2x) -3 + 9x = (-1 * 4 + 2x * 4) -3 + 9x = (-4 + 8x) Solving -3 + 9x = -4 + 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 = -4 + 8x + -8x Combine like terms: 9x + -8x = 1x -3 + 1x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 1x = -4 + 0 -3 + 1x = -4 Add '3' to each side of the equation. -3 + 3 + 1x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -4 + 3 1x = -4 + 3 Combine like terms: -4 + 3 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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