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Simplifying 15x + -2(4x + 1) = -9 Reorder the terms: 15x + -2(1 + 4x) = -9 15x + (1 * -2 + 4x * -2) = -9 15x + (-2 + -8x) = -9 Reorder the terms: -2 + 15x + -8x = -9 Combine like terms: 15x + -8x = 7x -2 + 7x = -9 Solving -2 + 7x = -9 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 + 7x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -9 + 2 7x = -9 + 2 Combine like terms: -9 + 2 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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