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Simplifying x + 4(x + -5) = 4(x + -2) Reorder the terms: x + 4(-5 + x) = 4(x + -2) x + (-5 * 4 + x * 4) = 4(x + -2) x + (-20 + 4x) = 4(x + -2) Reorder the terms: -20 + x + 4x = 4(x + -2) Combine like terms: x + 4x = 5x -20 + 5x = 4(x + -2) Reorder the terms: -20 + 5x = 4(-2 + x) -20 + 5x = (-2 * 4 + x * 4) -20 + 5x = (-8 + 4x) Solving -20 + 5x = -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. -20 + 5x + -4x = -8 + 4x + -4x Combine like terms: 5x + -4x = 1x -20 + 1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 1x = -8 + 0 -20 + 1x = -8 Add '20' to each side of the equation. -20 + 20 + 1x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -8 + 20 1x = -8 + 20 Combine like terms: -8 + 20 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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