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Simplifying 4(2x + -3) = 3(3x + -1) Reorder the terms: 4(-3 + 2x) = 3(3x + -1) (-3 * 4 + 2x * 4) = 3(3x + -1) (-12 + 8x) = 3(3x + -1) Reorder the terms: -12 + 8x = 3(-1 + 3x) -12 + 8x = (-1 * 3 + 3x * 3) -12 + 8x = (-3 + 9x) Solving -12 + 8x = -3 + 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. -12 + 8x + -9x = -3 + 9x + -9x Combine like terms: 8x + -9x = -1x -12 + -1x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -1x = -3 + 0 -12 + -1x = -3 Add '12' to each side of the equation. -12 + 12 + -1x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -3 + 12 -1x = -3 + 12 Combine like terms: -3 + 12 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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