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Simplifying -3(11x + 11) + 8x = 7(3x + -11) + -2x Reorder the terms: -3(11 + 11x) + 8x = 7(3x + -11) + -2x (11 * -3 + 11x * -3) + 8x = 7(3x + -11) + -2x (-33 + -33x) + 8x = 7(3x + -11) + -2x Combine like terms: -33x + 8x = -25x -33 + -25x = 7(3x + -11) + -2x Reorder the terms: -33 + -25x = 7(-11 + 3x) + -2x -33 + -25x = (-11 * 7 + 3x * 7) + -2x -33 + -25x = (-77 + 21x) + -2x Combine like terms: 21x + -2x = 19x -33 + -25x = -77 + 19x Solving -33 + -25x = -77 + 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. -33 + -25x + -19x = -77 + 19x + -19x Combine like terms: -25x + -19x = -44x -33 + -44x = -77 + 19x + -19x Combine like terms: 19x + -19x = 0 -33 + -44x = -77 + 0 -33 + -44x = -77 Add '33' to each side of the equation. -33 + 33 + -44x = -77 + 33 Combine like terms: -33 + 33 = 0 0 + -44x = -77 + 33 -44x = -77 + 33 Combine like terms: -77 + 33 = -44 -44x = -44 Divide each side by '-44'. x = 1 Simplifying x = 1
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