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Simplifying 4 + 5(x + -5) = 4 + -4(x + -6) Reorder the terms: 4 + 5(-5 + x) = 4 + -4(x + -6) 4 + (-5 * 5 + x * 5) = 4 + -4(x + -6) 4 + (-25 + 5x) = 4 + -4(x + -6) Combine like terms: 4 + -25 = -21 -21 + 5x = 4 + -4(x + -6) Reorder the terms: -21 + 5x = 4 + -4(-6 + x) -21 + 5x = 4 + (-6 * -4 + x * -4) -21 + 5x = 4 + (24 + -4x) Combine like terms: 4 + 24 = 28 -21 + 5x = 28 + -4x Solving -21 + 5x = 28 + -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. -21 + 5x + 4x = 28 + -4x + 4x Combine like terms: 5x + 4x = 9x -21 + 9x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + 9x = 28 + 0 -21 + 9x = 28 Add '21' to each side of the equation. -21 + 21 + 9x = 28 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 28 + 21 9x = 28 + 21 Combine like terms: 28 + 21 = 49 9x = 49 Divide each side by '9'. x = 5.444444444 Simplifying x = 5.444444444
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