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Simplifying -15(7x + -4) + -6x = 11x + -11 + -51 Reorder the terms: -15(-4 + 7x) + -6x = 11x + -11 + -51 (-4 * -15 + 7x * -15) + -6x = 11x + -11 + -51 (60 + -105x) + -6x = 11x + -11 + -51 Combine like terms: -105x + -6x = -111x 60 + -111x = 11x + -11 + -51 Reorder the terms: 60 + -111x = -11 + -51 + 11x Combine like terms: -11 + -51 = -62 60 + -111x = -62 + 11x Solving 60 + -111x = -62 + 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. 60 + -111x + -11x = -62 + 11x + -11x Combine like terms: -111x + -11x = -122x 60 + -122x = -62 + 11x + -11x Combine like terms: 11x + -11x = 0 60 + -122x = -62 + 0 60 + -122x = -62 Add '-60' to each side of the equation. 60 + -60 + -122x = -62 + -60 Combine like terms: 60 + -60 = 0 0 + -122x = -62 + -60 -122x = -62 + -60 Combine like terms: -62 + -60 = -122 -122x = -122 Divide each side by '-122'. x = 1 Simplifying x = 1
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