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Simplifying (4x + 2) * 2 + (3x + -1) * 2 = 44 Reorder the terms: (2 + 4x) * 2 + (3x + -1) * 2 = 44 Reorder the terms for easier multiplication: 2(2 + 4x) + (3x + -1) * 2 = 44 (2 * 2 + 4x * 2) + (3x + -1) * 2 = 44 (4 + 8x) + (3x + -1) * 2 = 44 Reorder the terms: 4 + 8x + (-1 + 3x) * 2 = 44 Reorder the terms for easier multiplication: 4 + 8x + 2(-1 + 3x) = 44 4 + 8x + (-1 * 2 + 3x * 2) = 44 4 + 8x + (-2 + 6x) = 44 Reorder the terms: 4 + -2 + 8x + 6x = 44 Combine like terms: 4 + -2 = 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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