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Simplifying 3x + -1(4x + 9) = 2x + -39 Reorder the terms: 3x + -1(9 + 4x) = 2x + -39 3x + (9 * -1 + 4x * -1) = 2x + -39 3x + (-9 + -4x) = 2x + -39 Reorder the terms: -9 + 3x + -4x = 2x + -39 Combine like terms: 3x + -4x = -1x -9 + -1x = 2x + -39 Reorder the terms: -9 + -1x = -39 + 2x Solving -9 + -1x = -39 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + -1x + -2x = -39 + 2x + -2x Combine like terms: -1x + -2x = -3x -9 + -3x = -39 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -3x = -39 + 0 -9 + -3x = -39 Add '9' to each side of the equation. -9 + 9 + -3x = -39 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -39 + 9 -3x = -39 + 9 Combine like terms: -39 + 9 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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