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Simplifying 8(x + 1) + 3(2x + -3) = 41 Reorder the terms: 8(1 + x) + 3(2x + -3) = 41 (1 * 8 + x * 8) + 3(2x + -3) = 41 (8 + 8x) + 3(2x + -3) = 41 Reorder the terms: 8 + 8x + 3(-3 + 2x) = 41 8 + 8x + (-3 * 3 + 2x * 3) = 41 8 + 8x + (-9 + 6x) = 41 Reorder the terms: 8 + -9 + 8x + 6x = 41 Combine like terms: 8 + -9 = -1 -1 + 8x + 6x = 41 Combine like terms: 8x + 6x = 14x -1 + 14x = 41 Solving -1 + 14x = 41 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 + 14x = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = 41 + 1 14x = 41 + 1 Combine like terms: 41 + 1 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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