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Simplifying 4(2x + -3) = 3(4x + 8) Reorder the terms: 4(-3 + 2x) = 3(4x + 8) (-3 * 4 + 2x * 4) = 3(4x + 8) (-12 + 8x) = 3(4x + 8) Reorder the terms: -12 + 8x = 3(8 + 4x) -12 + 8x = (8 * 3 + 4x * 3) -12 + 8x = (24 + 12x) Solving -12 + 8x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 8x + -12x = 24 + 12x + -12x Combine like terms: 8x + -12x = -4x -12 + -4x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -4x = 24 + 0 -12 + -4x = 24 Add '12' to each side of the equation. -12 + 12 + -4x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 24 + 12 -4x = 24 + 12 Combine like terms: 24 + 12 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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