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Simplifying 6 + 5(x + -7) = 5 + -9(x + -4) Reorder the terms: 6 + 5(-7 + x) = 5 + -9(x + -4) 6 + (-7 * 5 + x * 5) = 5 + -9(x + -4) 6 + (-35 + 5x) = 5 + -9(x + -4) Combine like terms: 6 + -35 = -29 -29 + 5x = 5 + -9(x + -4) Reorder the terms: -29 + 5x = 5 + -9(-4 + x) -29 + 5x = 5 + (-4 * -9 + x * -9) -29 + 5x = 5 + (36 + -9x) Combine like terms: 5 + 36 = 41 -29 + 5x = 41 + -9x Solving -29 + 5x = 41 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -29 + 5x + 9x = 41 + -9x + 9x Combine like terms: 5x + 9x = 14x -29 + 14x = 41 + -9x + 9x Combine like terms: -9x + 9x = 0 -29 + 14x = 41 + 0 -29 + 14x = 41 Add '29' to each side of the equation. -29 + 29 + 14x = 41 + 29 Combine like terms: -29 + 29 = 0 0 + 14x = 41 + 29 14x = 41 + 29 Combine like terms: 41 + 29 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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