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Simplifying -3(-7x + -11) + -9(x + 6) = 11x + 8x Reorder the terms: -3(-11 + -7x) + -9(x + 6) = 11x + 8x (-11 * -3 + -7x * -3) + -9(x + 6) = 11x + 8x (33 + 21x) + -9(x + 6) = 11x + 8x Reorder the terms: 33 + 21x + -9(6 + x) = 11x + 8x 33 + 21x + (6 * -9 + x * -9) = 11x + 8x 33 + 21x + (-54 + -9x) = 11x + 8x Reorder the terms: 33 + -54 + 21x + -9x = 11x + 8x Combine like terms: 33 + -54 = -21 -21 + 21x + -9x = 11x + 8x Combine like terms: 21x + -9x = 12x -21 + 12x = 11x + 8x Combine like terms: 11x + 8x = 19x -21 + 12x = 19x Solving -21 + 12x = 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -21 + 12x + -19x = 19x + -19x Combine like terms: 12x + -19x = -7x -21 + -7x = 19x + -19x Combine like terms: 19x + -19x = 0 -21 + -7x = 0 Add '21' to each side of the equation. -21 + 21 + -7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = 0 + 21 -7x = 0 + 21 Combine like terms: 0 + 21 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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