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Simplifying 9(x + -3) + 2 = 7x + -5 Reorder the terms: 9(-3 + x) + 2 = 7x + -5 (-3 * 9 + x * 9) + 2 = 7x + -5 (-27 + 9x) + 2 = 7x + -5 Reorder the terms: -27 + 2 + 9x = 7x + -5 Combine like terms: -27 + 2 = -25 -25 + 9x = 7x + -5 Reorder the terms: -25 + 9x = -5 + 7x Solving -25 + 9x = -5 + 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. -25 + 9x + -7x = -5 + 7x + -7x Combine like terms: 9x + -7x = 2x -25 + 2x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -25 + 2x = -5 + 0 -25 + 2x = -5 Add '25' to each side of the equation. -25 + 25 + 2x = -5 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = -5 + 25 2x = -5 + 25 Combine like terms: -5 + 25 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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