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Simplifying 8(x + 1) + 3(2x + -2) = 44 Reorder the terms: 8(1 + x) + 3(2x + -2) = 44 (1 * 8 + x * 8) + 3(2x + -2) = 44 (8 + 8x) + 3(2x + -2) = 44 Reorder the terms: 8 + 8x + 3(-2 + 2x) = 44 8 + 8x + (-2 * 3 + 2x * 3) = 44 8 + 8x + (-6 + 6x) = 44 Reorder the terms: 8 + -6 + 8x + 6x = 44 Combine like terms: 8 + -6 = 2 2 + 8x + 6x = 44 Combine like terms: 8x + 6x = 14x 2 + 14x = 44 Solving 2 + 14x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 14x = 44 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 44 + -2 14x = 44 + -2 Combine like terms: 44 + -2 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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