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Simplifying 3(x + -6) + -9 = 19x + -171 Reorder the terms: 3(-6 + x) + -9 = 19x + -171 (-6 * 3 + x * 3) + -9 = 19x + -171 (-18 + 3x) + -9 = 19x + -171 Reorder the terms: -18 + -9 + 3x = 19x + -171 Combine like terms: -18 + -9 = -27 -27 + 3x = 19x + -171 Reorder the terms: -27 + 3x = -171 + 19x Solving -27 + 3x = -171 + 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. -27 + 3x + -19x = -171 + 19x + -19x Combine like terms: 3x + -19x = -16x -27 + -16x = -171 + 19x + -19x Combine like terms: 19x + -19x = 0 -27 + -16x = -171 + 0 -27 + -16x = -171 Add '27' to each side of the equation. -27 + 27 + -16x = -171 + 27 Combine like terms: -27 + 27 = 0 0 + -16x = -171 + 27 -16x = -171 + 27 Combine like terms: -171 + 27 = -144 -16x = -144 Divide each side by '-16'. x = 9 Simplifying x = 9
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