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Simplifying 6(-3x + -2) + 9 = -7(x + 5) + -1 Reorder the terms: 6(-2 + -3x) + 9 = -7(x + 5) + -1 (-2 * 6 + -3x * 6) + 9 = -7(x + 5) + -1 (-12 + -18x) + 9 = -7(x + 5) + -1 Reorder the terms: -12 + 9 + -18x = -7(x + 5) + -1 Combine like terms: -12 + 9 = -3 -3 + -18x = -7(x + 5) + -1 Reorder the terms: -3 + -18x = -7(5 + x) + -1 -3 + -18x = (5 * -7 + x * -7) + -1 -3 + -18x = (-35 + -7x) + -1 Reorder the terms: -3 + -18x = -35 + -1 + -7x Combine like terms: -35 + -1 = -36 -3 + -18x = -36 + -7x Solving -3 + -18x = -36 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + -18x + 7x = -36 + -7x + 7x Combine like terms: -18x + 7x = -11x -3 + -11x = -36 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + -11x = -36 + 0 -3 + -11x = -36 Add '3' to each side of the equation. -3 + 3 + -11x = -36 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = -36 + 3 -11x = -36 + 3 Combine like terms: -36 + 3 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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