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Simplifying 9x + -1(4x + 6) = 6x + -48 Reorder the terms: 9x + -1(6 + 4x) = 6x + -48 9x + (6 * -1 + 4x * -1) = 6x + -48 9x + (-6 + -4x) = 6x + -48 Reorder the terms: -6 + 9x + -4x = 6x + -48 Combine like terms: 9x + -4x = 5x -6 + 5x = 6x + -48 Reorder the terms: -6 + 5x = -48 + 6x Solving -6 + 5x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 5x + -6x = -48 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = -48 + 0 -6 + -1x = -48 Add '6' to each side of the equation. -6 + 6 + -1x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -48 + 6 -1x = -48 + 6 Combine like terms: -48 + 6 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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