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Simplifying 6 + 7(x + -5) = 9 + -3(x + -7) Reorder the terms: 6 + 7(-5 + x) = 9 + -3(x + -7) 6 + (-5 * 7 + x * 7) = 9 + -3(x + -7) 6 + (-35 + 7x) = 9 + -3(x + -7) Combine like terms: 6 + -35 = -29 -29 + 7x = 9 + -3(x + -7) Reorder the terms: -29 + 7x = 9 + -3(-7 + x) -29 + 7x = 9 + (-7 * -3 + x * -3) -29 + 7x = 9 + (21 + -3x) Combine like terms: 9 + 21 = 30 -29 + 7x = 30 + -3x Solving -29 + 7x = 30 + -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. -29 + 7x + 3x = 30 + -3x + 3x Combine like terms: 7x + 3x = 10x -29 + 10x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 -29 + 10x = 30 + 0 -29 + 10x = 30 Add '29' to each side of the equation. -29 + 29 + 10x = 30 + 29 Combine like terms: -29 + 29 = 0 0 + 10x = 30 + 29 10x = 30 + 29 Combine like terms: 30 + 29 = 59 10x = 59 Divide each side by '10'. x = 5.9 Simplifying x = 5.9
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