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Simplifying 6(-7x + -3) = 11(x + 3) Reorder the terms: 6(-3 + -7x) = 11(x + 3) (-3 * 6 + -7x * 6) = 11(x + 3) (-18 + -42x) = 11(x + 3) Reorder the terms: -18 + -42x = 11(3 + x) -18 + -42x = (3 * 11 + x * 11) -18 + -42x = (33 + 11x) Solving -18 + -42x = 33 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -18 + -42x + -11x = 33 + 11x + -11x Combine like terms: -42x + -11x = -53x -18 + -53x = 33 + 11x + -11x Combine like terms: 11x + -11x = 0 -18 + -53x = 33 + 0 -18 + -53x = 33 Add '18' to each side of the equation. -18 + 18 + -53x = 33 + 18 Combine like terms: -18 + 18 = 0 0 + -53x = 33 + 18 -53x = 33 + 18 Combine like terms: 33 + 18 = 51 -53x = 51 Divide each side by '-53'. x = -0.9622641509 Simplifying x = -0.9622641509
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