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Simplifying 4(3x + -5) + -4 = 4(x + -2) + 16 Reorder the terms: 4(-5 + 3x) + -4 = 4(x + -2) + 16 (-5 * 4 + 3x * 4) + -4 = 4(x + -2) + 16 (-20 + 12x) + -4 = 4(x + -2) + 16 Reorder the terms: -20 + -4 + 12x = 4(x + -2) + 16 Combine like terms: -20 + -4 = -24 -24 + 12x = 4(x + -2) + 16 Reorder the terms: -24 + 12x = 4(-2 + x) + 16 -24 + 12x = (-2 * 4 + x * 4) + 16 -24 + 12x = (-8 + 4x) + 16 Reorder the terms: -24 + 12x = -8 + 16 + 4x Combine like terms: -8 + 16 = 8 -24 + 12x = 8 + 4x Solving -24 + 12x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 12x + -4x = 8 + 4x + -4x Combine like terms: 12x + -4x = 8x -24 + 8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 8x = 8 + 0 -24 + 8x = 8 Add '24' to each side of the equation. -24 + 24 + 8x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 8 + 24 8x = 8 + 24 Combine like terms: 8 + 24 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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