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Simplifying -11(x + 1) + 6(3x + -3) = 6(x + -3) + 10 Reorder the terms: -11(1 + x) + 6(3x + -3) = 6(x + -3) + 10 (1 * -11 + x * -11) + 6(3x + -3) = 6(x + -3) + 10 (-11 + -11x) + 6(3x + -3) = 6(x + -3) + 10 Reorder the terms: -11 + -11x + 6(-3 + 3x) = 6(x + -3) + 10 -11 + -11x + (-3 * 6 + 3x * 6) = 6(x + -3) + 10 -11 + -11x + (-18 + 18x) = 6(x + -3) + 10 Reorder the terms: -11 + -18 + -11x + 18x = 6(x + -3) + 10 Combine like terms: -11 + -18 = -29 -29 + -11x + 18x = 6(x + -3) + 10 Combine like terms: -11x + 18x = 7x -29 + 7x = 6(x + -3) + 10 Reorder the terms: -29 + 7x = 6(-3 + x) + 10 -29 + 7x = (-3 * 6 + x * 6) + 10 -29 + 7x = (-18 + 6x) + 10 Reorder the terms: -29 + 7x = -18 + 10 + 6x Combine like terms: -18 + 10 = -8 -29 + 7x = -8 + 6x Solving -29 + 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. -29 + 7x + -6x = -8 + 6x + -6x Combine like terms: 7x + -6x = 1x -29 + 1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -29 + 1x = -8 + 0 -29 + 1x = -8 Add '29' to each side of the equation. -29 + 29 + 1x = -8 + 29 Combine like terms: -29 + 29 = 0 0 + 1x = -8 + 29 1x = -8 + 29 Combine like terms: -8 + 29 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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