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Simplifying 2(4x + 1) + 3(2x + -5) = 15 Reorder the terms: 2(1 + 4x) + 3(2x + -5) = 15 (1 * 2 + 4x * 2) + 3(2x + -5) = 15 (2 + 8x) + 3(2x + -5) = 15 Reorder the terms: 2 + 8x + 3(-5 + 2x) = 15 2 + 8x + (-5 * 3 + 2x * 3) = 15 2 + 8x + (-15 + 6x) = 15 Reorder the terms: 2 + -15 + 8x + 6x = 15 Combine like terms: 2 + -15 = -13 -13 + 8x + 6x = 15 Combine like terms: 8x + 6x = 14x -13 + 14x = 15 Solving -13 + 14x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 14x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 15 + 13 14x = 15 + 13 Combine like terms: 15 + 13 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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