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Simplifying 4 + 9(x + -7) = 9 + -4(x + -5) Reorder the terms: 4 + 9(-7 + x) = 9 + -4(x + -5) 4 + (-7 * 9 + x * 9) = 9 + -4(x + -5) 4 + (-63 + 9x) = 9 + -4(x + -5) Combine like terms: 4 + -63 = -59 -59 + 9x = 9 + -4(x + -5) Reorder the terms: -59 + 9x = 9 + -4(-5 + x) -59 + 9x = 9 + (-5 * -4 + x * -4) -59 + 9x = 9 + (20 + -4x) Combine like terms: 9 + 20 = 29 -59 + 9x = 29 + -4x Solving -59 + 9x = 29 + -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. -59 + 9x + 4x = 29 + -4x + 4x Combine like terms: 9x + 4x = 13x -59 + 13x = 29 + -4x + 4x Combine like terms: -4x + 4x = 0 -59 + 13x = 29 + 0 -59 + 13x = 29 Add '59' to each side of the equation. -59 + 59 + 13x = 29 + 59 Combine like terms: -59 + 59 = 0 0 + 13x = 29 + 59 13x = 29 + 59 Combine like terms: 29 + 59 = 88 13x = 88 Divide each side by '13'. x = 6.769230769 Simplifying x = 6.769230769
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