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Simplifying 4 + 5(x + -3) = 9 + -5(x + -7) Reorder the terms: 4 + 5(-3 + x) = 9 + -5(x + -7) 4 + (-3 * 5 + x * 5) = 9 + -5(x + -7) 4 + (-15 + 5x) = 9 + -5(x + -7) Combine like terms: 4 + -15 = -11 -11 + 5x = 9 + -5(x + -7) Reorder the terms: -11 + 5x = 9 + -5(-7 + x) -11 + 5x = 9 + (-7 * -5 + x * -5) -11 + 5x = 9 + (35 + -5x) Combine like terms: 9 + 35 = 44 -11 + 5x = 44 + -5x Solving -11 + 5x = 44 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -11 + 5x + 5x = 44 + -5x + 5x Combine like terms: 5x + 5x = 10x -11 + 10x = 44 + -5x + 5x Combine like terms: -5x + 5x = 0 -11 + 10x = 44 + 0 -11 + 10x = 44 Add '11' to each side of the equation. -11 + 11 + 10x = 44 + 11 Combine like terms: -11 + 11 = 0 0 + 10x = 44 + 11 10x = 44 + 11 Combine like terms: 44 + 11 = 55 10x = 55 Divide each side by '10'. x = 5.5 Simplifying x = 5.5
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