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Simplifying 7x + -1(2x + 9) = 2x + -48 Reorder the terms: 7x + -1(9 + 2x) = 2x + -48 7x + (9 * -1 + 2x * -1) = 2x + -48 7x + (-9 + -2x) = 2x + -48 Reorder the terms: -9 + 7x + -2x = 2x + -48 Combine like terms: 7x + -2x = 5x -9 + 5x = 2x + -48 Reorder the terms: -9 + 5x = -48 + 2x Solving -9 + 5x = -48 + 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 + 5x + -2x = -48 + 2x + -2x Combine like terms: 5x + -2x = 3x -9 + 3x = -48 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 3x = -48 + 0 -9 + 3x = -48 Add '9' to each side of the equation. -9 + 9 + 3x = -48 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -48 + 9 3x = -48 + 9 Combine like terms: -48 + 9 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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