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Simplifying 4x + 8(-2x + -3) = 4(3 + -2x) Reorder the terms: 4x + 8(-3 + -2x) = 4(3 + -2x) 4x + (-3 * 8 + -2x * 8) = 4(3 + -2x) 4x + (-24 + -16x) = 4(3 + -2x) Reorder the terms: -24 + 4x + -16x = 4(3 + -2x) Combine like terms: 4x + -16x = -12x -24 + -12x = 4(3 + -2x) -24 + -12x = (3 * 4 + -2x * 4) -24 + -12x = (12 + -8x) Solving -24 + -12x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + -12x + 8x = 12 + -8x + 8x Combine like terms: -12x + 8x = -4x -24 + -4x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + -4x = 12 + 0 -24 + -4x = 12 Add '24' to each side of the equation. -24 + 24 + -4x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = 12 + 24 -4x = 12 + 24 Combine like terms: 12 + 24 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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