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Simplifying 4(x + -5) + -5(x + -4) = x + 4 + -1(x + -3) Reorder the terms: 4(-5 + x) + -5(x + -4) = x + 4 + -1(x + -3) (-5 * 4 + x * 4) + -5(x + -4) = x + 4 + -1(x + -3) (-20 + 4x) + -5(x + -4) = x + 4 + -1(x + -3) Reorder the terms: -20 + 4x + -5(-4 + x) = x + 4 + -1(x + -3) -20 + 4x + (-4 * -5 + x * -5) = x + 4 + -1(x + -3) -20 + 4x + (20 + -5x) = x + 4 + -1(x + -3) Reorder the terms: -20 + 20 + 4x + -5x = x + 4 + -1(x + -3) Combine like terms: -20 + 20 = 0 0 + 4x + -5x = x + 4 + -1(x + -3) 4x + -5x = x + 4 + -1(x + -3) Combine like terms: 4x + -5x = -1x -1x = x + 4 + -1(x + -3) Reorder the terms: -1x = x + 4 + -1(-3 + x) -1x = x + 4 + (-3 * -1 + x * -1) -1x = x + 4 + (3 + -1x) Reorder the terms: -1x = 4 + 3 + x + -1x Combine like terms: 4 + 3 = 7 -1x = 7 + x + -1x Combine like terms: x + -1x = 0 -1x = 7 + 0 -1x = 7 Solving -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -7 Simplifying x = -7
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