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Simplifying -7 + (9x + 2) = -1(6x + 3) + -9 Reorder the terms: -7 + (2 + 9x) = -1(6x + 3) + -9 Remove parenthesis around (2 + 9x) -7 + 2 + 9x = -1(6x + 3) + -9 Combine like terms: -7 + 2 = -5 -5 + 9x = -1(6x + 3) + -9 Reorder the terms: -5 + 9x = -1(3 + 6x) + -9 -5 + 9x = (3 * -1 + 6x * -1) + -9 -5 + 9x = (-3 + -6x) + -9 Reorder the terms: -5 + 9x = -3 + -9 + -6x Combine like terms: -3 + -9 = -12 -5 + 9x = -12 + -6x Solving -5 + 9x = -12 + -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 + 9x + 6x = -12 + -6x + 6x Combine like terms: 9x + 6x = 15x -5 + 15x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 15x = -12 + 0 -5 + 15x = -12 Add '5' to each side of the equation. -5 + 5 + 15x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = -12 + 5 15x = -12 + 5 Combine like terms: -12 + 5 = -7 15x = -7 Divide each side by '15'. x = -0.4666666667 Simplifying x = -0.4666666667
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