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Simplifying (2 + -1x) + -1(7 + -3x) = 55 + 6x Remove parenthesis around (2 + -1x) 2 + -1x + -1(7 + -3x) = 55 + 6x 2 + -1x + (7 * -1 + -3x * -1) = 55 + 6x 2 + -1x + (-7 + 3x) = 55 + 6x Reorder the terms: 2 + -7 + -1x + 3x = 55 + 6x Combine like terms: 2 + -7 = -5 -5 + -1x + 3x = 55 + 6x Combine like terms: -1x + 3x = 2x -5 + 2x = 55 + 6x Solving -5 + 2x = 55 + 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. -5 + 2x + -6x = 55 + 6x + -6x Combine like terms: 2x + -6x = -4x -5 + -4x = 55 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -4x = 55 + 0 -5 + -4x = 55 Add '5' to each side of the equation. -5 + 5 + -4x = 55 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 55 + 5 -4x = 55 + 5 Combine like terms: 55 + 5 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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