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Simplifying (x + -7) + -1(4x + -2) = 6x + 9 Reorder the terms: (-7 + x) + -1(4x + -2) = 6x + 9 Remove parenthesis around (-7 + x) -7 + x + -1(4x + -2) = 6x + 9 Reorder the terms: -7 + x + -1(-2 + 4x) = 6x + 9 -7 + x + (-2 * -1 + 4x * -1) = 6x + 9 -7 + x + (2 + -4x) = 6x + 9 Reorder the terms: -7 + 2 + x + -4x = 6x + 9 Combine like terms: -7 + 2 = -5 -5 + x + -4x = 6x + 9 Combine like terms: x + -4x = -3x -5 + -3x = 6x + 9 Reorder the terms: -5 + -3x = 9 + 6x Solving -5 + -3x = 9 + 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 + -3x + -6x = 9 + 6x + -6x Combine like terms: -3x + -6x = -9x -5 + -9x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -9x = 9 + 0 -5 + -9x = 9 Add '5' to each side of the equation. -5 + 5 + -9x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 9 + 5 -9x = 9 + 5 Combine like terms: 9 + 5 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556
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