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Simplifying 3x + 5(x + -7) = 9 + -3(x + -4) Reorder the terms: 3x + 5(-7 + x) = 9 + -3(x + -4) 3x + (-7 * 5 + x * 5) = 9 + -3(x + -4) 3x + (-35 + 5x) = 9 + -3(x + -4) Reorder the terms: -35 + 3x + 5x = 9 + -3(x + -4) Combine like terms: 3x + 5x = 8x -35 + 8x = 9 + -3(x + -4) Reorder the terms: -35 + 8x = 9 + -3(-4 + x) -35 + 8x = 9 + (-4 * -3 + x * -3) -35 + 8x = 9 + (12 + -3x) Combine like terms: 9 + 12 = 21 -35 + 8x = 21 + -3x Solving -35 + 8x = 21 + -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. -35 + 8x + 3x = 21 + -3x + 3x Combine like terms: 8x + 3x = 11x -35 + 11x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -35 + 11x = 21 + 0 -35 + 11x = 21 Add '35' to each side of the equation. -35 + 35 + 11x = 21 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 21 + 35 11x = 21 + 35 Combine like terms: 21 + 35 = 56 11x = 56 Divide each side by '11'. x = 5.090909091 Simplifying x = 5.090909091
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