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Simplifying (x + 6) + -1(2x + 7) = 4x + 2 Reorder the terms: (6 + x) + -1(2x + 7) = 4x + 2 Remove parenthesis around (6 + x) 6 + x + -1(2x + 7) = 4x + 2 Reorder the terms: 6 + x + -1(7 + 2x) = 4x + 2 6 + x + (7 * -1 + 2x * -1) = 4x + 2 6 + x + (-7 + -2x) = 4x + 2 Reorder the terms: 6 + -7 + x + -2x = 4x + 2 Combine like terms: 6 + -7 = -1 -1 + x + -2x = 4x + 2 Combine like terms: x + -2x = -1x -1 + -1x = 4x + 2 Reorder the terms: -1 + -1x = 2 + 4x Solving -1 + -1x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -1x + -4x = 2 + 4x + -4x Combine like terms: -1x + -4x = -5x -1 + -5x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -5x = 2 + 0 -1 + -5x = 2 Add '1' to each side of the equation. -1 + 1 + -5x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 2 + 1 -5x = 2 + 1 Combine like terms: 2 + 1 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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