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Simplifying 4(2x + -5) + -4 = 4(x + -5) + 4 Reorder the terms: 4(-5 + 2x) + -4 = 4(x + -5) + 4 (-5 * 4 + 2x * 4) + -4 = 4(x + -5) + 4 (-20 + 8x) + -4 = 4(x + -5) + 4 Reorder the terms: -20 + -4 + 8x = 4(x + -5) + 4 Combine like terms: -20 + -4 = -24 -24 + 8x = 4(x + -5) + 4 Reorder the terms: -24 + 8x = 4(-5 + x) + 4 -24 + 8x = (-5 * 4 + x * 4) + 4 -24 + 8x = (-20 + 4x) + 4 Reorder the terms: -24 + 8x = -20 + 4 + 4x Combine like terms: -20 + 4 = -16 -24 + 8x = -16 + 4x Solving -24 + 8x = -16 + 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 + 8x + -4x = -16 + 4x + -4x Combine like terms: 8x + -4x = 4x -24 + 4x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 4x = -16 + 0 -24 + 4x = -16 Add '24' to each side of the equation. -24 + 24 + 4x = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -16 + 24 4x = -16 + 24 Combine like terms: -16 + 24 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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