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Simplifying 4(2x + -1) = 3(3x + -2) Reorder the terms: 4(-1 + 2x) = 3(3x + -2) (-1 * 4 + 2x * 4) = 3(3x + -2) (-4 + 8x) = 3(3x + -2) Reorder the terms: -4 + 8x = 3(-2 + 3x) -4 + 8x = (-2 * 3 + 3x * 3) -4 + 8x = (-6 + 9x) Solving -4 + 8x = -6 + 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. -4 + 8x + -9x = -6 + 9x + -9x Combine like terms: 8x + -9x = -1x -4 + -1x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -1x = -6 + 0 -4 + -1x = -6 Add '4' to each side of the equation. -4 + 4 + -1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -6 + 4 -1x = -6 + 4 Combine like terms: -6 + 4 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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