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Simplifying 4(3x + -2) = 8(2x + 3) Reorder the terms: 4(-2 + 3x) = 8(2x + 3) (-2 * 4 + 3x * 4) = 8(2x + 3) (-8 + 12x) = 8(2x + 3) Reorder the terms: -8 + 12x = 8(3 + 2x) -8 + 12x = (3 * 8 + 2x * 8) -8 + 12x = (24 + 16x) Solving -8 + 12x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -8 + 12x + -16x = 24 + 16x + -16x Combine like terms: 12x + -16x = -4x -8 + -4x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + -4x = 24 + 0 -8 + -4x = 24 Add '8' to each side of the equation. -8 + 8 + -4x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 24 + 8 -4x = 24 + 8 Combine like terms: 24 + 8 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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