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Simplifying 11x + 6x + -9 = -19(1 + -1x) Reorder the terms: -9 + 11x + 6x = -19(1 + -1x) Combine like terms: 11x + 6x = 17x -9 + 17x = -19(1 + -1x) -9 + 17x = (1 * -19 + -1x * -19) -9 + 17x = (-19 + 19x) Solving -9 + 17x = -19 + 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. -9 + 17x + -19x = -19 + 19x + -19x Combine like terms: 17x + -19x = -2x -9 + -2x = -19 + 19x + -19x Combine like terms: 19x + -19x = 0 -9 + -2x = -19 + 0 -9 + -2x = -19 Add '9' to each side of the equation. -9 + 9 + -2x = -19 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -19 + 9 -2x = -19 + 9 Combine like terms: -19 + 9 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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