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Simplifying 5(2x + -3) + (x + -7) = 9x Reorder the terms: 5(-3 + 2x) + (x + -7) = 9x (-3 * 5 + 2x * 5) + (x + -7) = 9x (-15 + 10x) + (x + -7) = 9x Reorder the terms: -15 + 10x + (-7 + x) = 9x Remove parenthesis around (-7 + x) -15 + 10x + -7 + x = 9x Reorder the terms: -15 + -7 + 10x + x = 9x Combine like terms: -15 + -7 = -22 -22 + 10x + x = 9x Combine like terms: 10x + x = 11x -22 + 11x = 9x Solving -22 + 11x = 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. -22 + 11x + -9x = 9x + -9x Combine like terms: 11x + -9x = 2x -22 + 2x = 9x + -9x Combine like terms: 9x + -9x = 0 -22 + 2x = 0 Add '22' to each side of the equation. -22 + 22 + 2x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 0 + 22 2x = 0 + 22 Combine like terms: 0 + 22 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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