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Simplifying 18x + 3x + -9 = -19(1 + -1x) Reorder the terms: -9 + 18x + 3x = -19(1 + -1x) Combine like terms: 18x + 3x = 21x -9 + 21x = -19(1 + -1x) -9 + 21x = (1 * -19 + -1x * -19) -9 + 21x = (-19 + 19x) Solving -9 + 21x = -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 + 21x + -19x = -19 + 19x + -19x Combine like terms: 21x + -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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