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Simplifying 4(x + -5) = -3(x + -7) Reorder the terms: 4(-5 + x) = -3(x + -7) (-5 * 4 + x * 4) = -3(x + -7) (-20 + 4x) = -3(x + -7) Reorder the terms: -20 + 4x = -3(-7 + x) -20 + 4x = (-7 * -3 + x * -3) -20 + 4x = (21 + -3x) Solving -20 + 4x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 4x + 3x = 21 + -3x + 3x Combine like terms: 4x + 3x = 7x -20 + 7x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 7x = 21 + 0 -20 + 7x = 21 Add '20' to each side of the equation. -20 + 20 + 7x = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 21 + 20 7x = 21 + 20 Combine like terms: 21 + 20 = 41 7x = 41 Divide each side by '7'. x = 5.857142857 Simplifying x = 5.857142857
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