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Simplifying 9(x + -2) = 5(x + 3) + 35 Reorder the terms: 9(-2 + x) = 5(x + 3) + 35 (-2 * 9 + x * 9) = 5(x + 3) + 35 (-18 + 9x) = 5(x + 3) + 35 Reorder the terms: -18 + 9x = 5(3 + x) + 35 -18 + 9x = (3 * 5 + x * 5) + 35 -18 + 9x = (15 + 5x) + 35 Reorder the terms: -18 + 9x = 15 + 35 + 5x Combine like terms: 15 + 35 = 50 -18 + 9x = 50 + 5x Solving -18 + 9x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 9x + -5x = 50 + 5x + -5x Combine like terms: 9x + -5x = 4x -18 + 4x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 4x = 50 + 0 -18 + 4x = 50 Add '18' to each side of the equation. -18 + 18 + 4x = 50 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 50 + 18 4x = 50 + 18 Combine like terms: 50 + 18 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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