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Simplifying 5(x + -4) + -1(5x + 5) + -5(2x + 3) = 0 Reorder the terms: 5(-4 + x) + -1(5x + 5) + -5(2x + 3) = 0 (-4 * 5 + x * 5) + -1(5x + 5) + -5(2x + 3) = 0 (-20 + 5x) + -1(5x + 5) + -5(2x + 3) = 0 Reorder the terms: -20 + 5x + -1(5 + 5x) + -5(2x + 3) = 0 -20 + 5x + (5 * -1 + 5x * -1) + -5(2x + 3) = 0 -20 + 5x + (-5 + -5x) + -5(2x + 3) = 0 Reorder the terms: -20 + 5x + -5 + -5x + -5(3 + 2x) = 0 -20 + 5x + -5 + -5x + (3 * -5 + 2x * -5) = 0 -20 + 5x + -5 + -5x + (-15 + -10x) = 0 Reorder the terms: -20 + -5 + -15 + 5x + -5x + -10x = 0 Combine like terms: -20 + -5 = -25 -25 + -15 + 5x + -5x + -10x = 0 Combine like terms: -25 + -15 = -40 -40 + 5x + -5x + -10x = 0 Combine like terms: 5x + -5x = 0 -40 + 0 + -10x = 0 -40 + -10x = 0 Solving -40 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -10x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -10x = 0 + 40 -10x = 0 + 40 Combine like terms: 0 + 40 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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