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Simplifying 2x + -1(3x + 9) = 7x + -49 Reorder the terms: 2x + -1(9 + 3x) = 7x + -49 2x + (9 * -1 + 3x * -1) = 7x + -49 2x + (-9 + -3x) = 7x + -49 Reorder the terms: -9 + 2x + -3x = 7x + -49 Combine like terms: 2x + -3x = -1x -9 + -1x = 7x + -49 Reorder the terms: -9 + -1x = -49 + 7x Solving -9 + -1x = -49 + 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 + -1x + -7x = -49 + 7x + -7x Combine like terms: -1x + -7x = -8x -9 + -8x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -8x = -49 + 0 -9 + -8x = -49 Add '9' to each side of the equation. -9 + 9 + -8x = -49 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = -49 + 9 -8x = -49 + 9 Combine like terms: -49 + 9 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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