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Simplifying 7x + -1(5x + 8) = 6x + -48 Reorder the terms: 7x + -1(8 + 5x) = 6x + -48 7x + (8 * -1 + 5x * -1) = 6x + -48 7x + (-8 + -5x) = 6x + -48 Reorder the terms: -8 + 7x + -5x = 6x + -48 Combine like terms: 7x + -5x = 2x -8 + 2x = 6x + -48 Reorder the terms: -8 + 2x = -48 + 6x Solving -8 + 2x = -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. -8 + 2x + -6x = -48 + 6x + -6x Combine like terms: 2x + -6x = -4x -8 + -4x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -4x = -48 + 0 -8 + -4x = -48 Add '8' to each side of the equation. -8 + 8 + -4x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -48 + 8 -4x = -48 + 8 Combine like terms: -48 + 8 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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