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Simplifying 8x + -1(9x + 6) = 2x + -48 Reorder the terms: 8x + -1(6 + 9x) = 2x + -48 8x + (6 * -1 + 9x * -1) = 2x + -48 8x + (-6 + -9x) = 2x + -48 Reorder the terms: -6 + 8x + -9x = 2x + -48 Combine like terms: 8x + -9x = -1x -6 + -1x = 2x + -48 Reorder the terms: -6 + -1x = -48 + 2x Solving -6 + -1x = -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. -6 + -1x + -2x = -48 + 2x + -2x Combine like terms: -1x + -2x = -3x -6 + -3x = -48 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -3x = -48 + 0 -6 + -3x = -48 Add '6' to each side of the equation. -6 + 6 + -3x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -48 + 6 -3x = -48 + 6 Combine like terms: -48 + 6 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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