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Simplifying 3(x + -4) = -5x + 4(x + -5) Reorder the terms: 3(-4 + x) = -5x + 4(x + -5) (-4 * 3 + x * 3) = -5x + 4(x + -5) (-12 + 3x) = -5x + 4(x + -5) Reorder the terms: -12 + 3x = -5x + 4(-5 + x) -12 + 3x = -5x + (-5 * 4 + x * 4) -12 + 3x = -5x + (-20 + 4x) Reorder the terms: -12 + 3x = -20 + -5x + 4x Combine like terms: -5x + 4x = -1x -12 + 3x = -20 + -1x Solving -12 + 3x = -20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 3x + x = -20 + -1x + x Combine like terms: 3x + x = 4x -12 + 4x = -20 + -1x + x Combine like terms: -1x + x = 0 -12 + 4x = -20 + 0 -12 + 4x = -20 Add '12' to each side of the equation. -12 + 12 + 4x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -20 + 12 4x = -20 + 12 Combine like terms: -20 + 12 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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