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Simplifying 7x + -1(6x + 9) = 4x + -48 Reorder the terms: 7x + -1(9 + 6x) = 4x + -48 7x + (9 * -1 + 6x * -1) = 4x + -48 7x + (-9 + -6x) = 4x + -48 Reorder the terms: -9 + 7x + -6x = 4x + -48 Combine like terms: 7x + -6x = 1x -9 + 1x = 4x + -48 Reorder the terms: -9 + 1x = -48 + 4x Solving -9 + 1x = -48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 1x + -4x = -48 + 4x + -4x Combine like terms: 1x + -4x = -3x -9 + -3x = -48 + 4x + -4x Combine like terms: 4x + -4x = 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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