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Simplifying (6x + 18) + -1(2x + -8) = 5x + -48 Reorder the terms: (18 + 6x) + -1(2x + -8) = 5x + -48 Remove parenthesis around (18 + 6x) 18 + 6x + -1(2x + -8) = 5x + -48 Reorder the terms: 18 + 6x + -1(-8 + 2x) = 5x + -48 18 + 6x + (-8 * -1 + 2x * -1) = 5x + -48 18 + 6x + (8 + -2x) = 5x + -48 Reorder the terms: 18 + 8 + 6x + -2x = 5x + -48 Combine like terms: 18 + 8 = 26 26 + 6x + -2x = 5x + -48 Combine like terms: 6x + -2x = 4x 26 + 4x = 5x + -48 Reorder the terms: 26 + 4x = -48 + 5x Solving 26 + 4x = -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. 26 + 4x + -5x = -48 + 5x + -5x Combine like terms: 4x + -5x = -1x 26 + -1x = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + -1x = -48 + 0 26 + -1x = -48 Add '-26' to each side of the equation. 26 + -26 + -1x = -48 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = -48 + -26 -1x = -48 + -26 Combine like terms: -48 + -26 = -74 -1x = -74 Divide each side by '-1'. x = 74 Simplifying x = 74
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