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Simplifying 4(x + -1) = -10(x + -5) Reorder the terms: 4(-1 + x) = -10(x + -5) (-1 * 4 + x * 4) = -10(x + -5) (-4 + 4x) = -10(x + -5) Reorder the terms: -4 + 4x = -10(-5 + x) -4 + 4x = (-5 * -10 + x * -10) -4 + 4x = (50 + -10x) Solving -4 + 4x = 50 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4 + 4x + 10x = 50 + -10x + 10x Combine like terms: 4x + 10x = 14x -4 + 14x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 14x = 50 + 0 -4 + 14x = 50 Add '4' to each side of the equation. -4 + 4 + 14x = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 50 + 4 14x = 50 + 4 Combine like terms: 50 + 4 = 54 14x = 54 Divide each side by '14'. x = 3.857142857 Simplifying x = 3.857142857
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