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Simplifying 4(x + -5) = 2(4x + 6) Reorder the terms: 4(-5 + x) = 2(4x + 6) (-5 * 4 + x * 4) = 2(4x + 6) (-20 + 4x) = 2(4x + 6) Reorder the terms: -20 + 4x = 2(6 + 4x) -20 + 4x = (6 * 2 + 4x * 2) -20 + 4x = (12 + 8x) Solving -20 + 4x = 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. -20 + 4x + -8x = 12 + 8x + -8x Combine like terms: 4x + -8x = -4x -20 + -4x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -4x = 12 + 0 -20 + -4x = 12 Add '20' to each side of the equation. -20 + 20 + -4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 12 + 20 -4x = 12 + 20 Combine like terms: 12 + 20 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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