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Simplifying 5 + 9(x + -3) = 8 + -7(x + -2) Reorder the terms: 5 + 9(-3 + x) = 8 + -7(x + -2) 5 + (-3 * 9 + x * 9) = 8 + -7(x + -2) 5 + (-27 + 9x) = 8 + -7(x + -2) Combine like terms: 5 + -27 = -22 -22 + 9x = 8 + -7(x + -2) Reorder the terms: -22 + 9x = 8 + -7(-2 + x) -22 + 9x = 8 + (-2 * -7 + x * -7) -22 + 9x = 8 + (14 + -7x) Combine like terms: 8 + 14 = 22 -22 + 9x = 22 + -7x Solving -22 + 9x = 22 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -22 + 9x + 7x = 22 + -7x + 7x Combine like terms: 9x + 7x = 16x -22 + 16x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 -22 + 16x = 22 + 0 -22 + 16x = 22 Add '22' to each side of the equation. -22 + 22 + 16x = 22 + 22 Combine like terms: -22 + 22 = 0 0 + 16x = 22 + 22 16x = 22 + 22 Combine like terms: 22 + 22 = 44 16x = 44 Divide each side by '16'. x = 2.75 Simplifying x = 2.75
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