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Simplifying x + 1(x + -4) = x + -5(x + 4) Reorder the terms: x + 1(-4 + x) = x + -5(x + 4) x + (-4 * 1 + x * 1) = x + -5(x + 4) x + (-4 + 1x) = x + -5(x + 4) Reorder the terms: -4 + x + 1x = x + -5(x + 4) Combine like terms: x + 1x = 2x -4 + 2x = x + -5(x + 4) Reorder the terms: -4 + 2x = x + -5(4 + x) -4 + 2x = x + (4 * -5 + x * -5) -4 + 2x = x + (-20 + -5x) Reorder the terms: -4 + 2x = -20 + x + -5x Combine like terms: x + -5x = -4x -4 + 2x = -20 + -4x Solving -4 + 2x = -20 + -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. -4 + 2x + 4x = -20 + -4x + 4x Combine like terms: 2x + 4x = 6x -4 + 6x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 6x = -20 + 0 -4 + 6x = -20 Add '4' to each side of the equation. -4 + 4 + 6x = -20 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -20 + 4 6x = -20 + 4 Combine like terms: -20 + 4 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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