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Simplifying 4x + -1(2x + 9) = 7x + -39 Reorder the terms: 4x + -1(9 + 2x) = 7x + -39 4x + (9 * -1 + 2x * -1) = 7x + -39 4x + (-9 + -2x) = 7x + -39 Reorder the terms: -9 + 4x + -2x = 7x + -39 Combine like terms: 4x + -2x = 2x -9 + 2x = 7x + -39 Reorder the terms: -9 + 2x = -39 + 7x Solving -9 + 2x = -39 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 2x + -7x = -39 + 7x + -7x Combine like terms: 2x + -7x = -5x -9 + -5x = -39 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -5x = -39 + 0 -9 + -5x = -39 Add '9' to each side of the equation. -9 + 9 + -5x = -39 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -39 + 9 -5x = -39 + 9 Combine like terms: -39 + 9 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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