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Simplifying 6x + -1(3x + 6) = 5x + -48 Reorder the terms: 6x + -1(6 + 3x) = 5x + -48 6x + (6 * -1 + 3x * -1) = 5x + -48 6x + (-6 + -3x) = 5x + -48 Reorder the terms: -6 + 6x + -3x = 5x + -48 Combine like terms: 6x + -3x = 3x -6 + 3x = 5x + -48 Reorder the terms: -6 + 3x = -48 + 5x Solving -6 + 3x = -48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 3x + -5x = -48 + 5x + -5x Combine like terms: 3x + -5x = -2x -6 + -2x = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -2x = -48 + 0 -6 + -2x = -48 Add '6' to each side of the equation. -6 + 6 + -2x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -48 + 6 -2x = -48 + 6 Combine like terms: -48 + 6 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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