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Simplifying 4(3x + -4) = 8(2x + -1) Reorder the terms: 4(-4 + 3x) = 8(2x + -1) (-4 * 4 + 3x * 4) = 8(2x + -1) (-16 + 12x) = 8(2x + -1) Reorder the terms: -16 + 12x = 8(-1 + 2x) -16 + 12x = (-1 * 8 + 2x * 8) -16 + 12x = (-8 + 16x) Solving -16 + 12x = -8 + 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. -16 + 12x + -16x = -8 + 16x + -16x Combine like terms: 12x + -16x = -4x -16 + -4x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -16 + -4x = -8 + 0 -16 + -4x = -8 Add '16' to each side of the equation. -16 + 16 + -4x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = -8 + 16 -4x = -8 + 16 Combine like terms: -8 + 16 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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