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Simplifying 5(x + 1) + 3(x + -2) = 17 Reorder the terms: 5(1 + x) + 3(x + -2) = 17 (1 * 5 + x * 5) + 3(x + -2) = 17 (5 + 5x) + 3(x + -2) = 17 Reorder the terms: 5 + 5x + 3(-2 + x) = 17 5 + 5x + (-2 * 3 + x * 3) = 17 5 + 5x + (-6 + 3x) = 17 Reorder the terms: 5 + -6 + 5x + 3x = 17 Combine like terms: 5 + -6 = -1 -1 + 5x + 3x = 17 Combine like terms: 5x + 3x = 8x -1 + 8x = 17 Solving -1 + 8x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 17 + 1 8x = 17 + 1 Combine like terms: 17 + 1 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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