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Simplifying 7(2x + 1) + -3(4x + 3) = 5 Reorder the terms: 7(1 + 2x) + -3(4x + 3) = 5 (1 * 7 + 2x * 7) + -3(4x + 3) = 5 (7 + 14x) + -3(4x + 3) = 5 Reorder the terms: 7 + 14x + -3(3 + 4x) = 5 7 + 14x + (3 * -3 + 4x * -3) = 5 7 + 14x + (-9 + -12x) = 5 Reorder the terms: 7 + -9 + 14x + -12x = 5 Combine like terms: 7 + -9 = -2 -2 + 14x + -12x = 5 Combine like terms: 14x + -12x = 2x -2 + 2x = 5 Solving -2 + 2x = 5 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 + 2x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 5 + 2 2x = 5 + 2 Combine like terms: 5 + 2 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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