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Simplifying -11(x + 2) + 6(3x + -5) = 6(x + -3) + 10 Reorder the terms: -11(2 + x) + 6(3x + -5) = 6(x + -3) + 10 (2 * -11 + x * -11) + 6(3x + -5) = 6(x + -3) + 10 (-22 + -11x) + 6(3x + -5) = 6(x + -3) + 10 Reorder the terms: -22 + -11x + 6(-5 + 3x) = 6(x + -3) + 10 -22 + -11x + (-5 * 6 + 3x * 6) = 6(x + -3) + 10 -22 + -11x + (-30 + 18x) = 6(x + -3) + 10 Reorder the terms: -22 + -30 + -11x + 18x = 6(x + -3) + 10 Combine like terms: -22 + -30 = -52 -52 + -11x + 18x = 6(x + -3) + 10 Combine like terms: -11x + 18x = 7x -52 + 7x = 6(x + -3) + 10 Reorder the terms: -52 + 7x = 6(-3 + x) + 10 -52 + 7x = (-3 * 6 + x * 6) + 10 -52 + 7x = (-18 + 6x) + 10 Reorder the terms: -52 + 7x = -18 + 10 + 6x Combine like terms: -18 + 10 = -8 -52 + 7x = -8 + 6x Solving -52 + 7x = -8 + 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. -52 + 7x + -6x = -8 + 6x + -6x Combine like terms: 7x + -6x = 1x -52 + 1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + 1x = -8 + 0 -52 + 1x = -8 Add '52' to each side of the equation. -52 + 52 + 1x = -8 + 52 Combine like terms: -52 + 52 = 0 0 + 1x = -8 + 52 1x = -8 + 52 Combine like terms: -8 + 52 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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