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Simplifying 8x + -1(4x + 9) = 7x + -48 Reorder the terms: 8x + -1(9 + 4x) = 7x + -48 8x + (9 * -1 + 4x * -1) = 7x + -48 8x + (-9 + -4x) = 7x + -48 Reorder the terms: -9 + 8x + -4x = 7x + -48 Combine like terms: 8x + -4x = 4x -9 + 4x = 7x + -48 Reorder the terms: -9 + 4x = -48 + 7x Solving -9 + 4x = -48 + 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 + 4x + -7x = -48 + 7x + -7x Combine like terms: 4x + -7x = -3x -9 + -3x = -48 + 7x + -7x Combine like terms: 7x + -7x = 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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