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Simplifying 8x + -1(7x + -8) = 2x + -48 Reorder the terms: 8x + -1(-8 + 7x) = 2x + -48 8x + (-8 * -1 + 7x * -1) = 2x + -48 8x + (8 + -7x) = 2x + -48 Reorder the terms: 8 + 8x + -7x = 2x + -48 Combine like terms: 8x + -7x = 1x 8 + 1x = 2x + -48 Reorder the terms: 8 + 1x = -48 + 2x Solving 8 + 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. 8 + 1x + -2x = -48 + 2x + -2x Combine like terms: 1x + -2x = -1x 8 + -1x = -48 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = -48 + 0 8 + -1x = -48 Add '-8' to each side of the equation. 8 + -8 + -1x = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -48 + -8 -1x = -48 + -8 Combine like terms: -48 + -8 = -56 -1x = -56 Divide each side by '-1'. x = 56 Simplifying x = 56
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