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Simplifying 3(x + -9) = 6 + -1(x + 5) Reorder the terms: 3(-9 + x) = 6 + -1(x + 5) (-9 * 3 + x * 3) = 6 + -1(x + 5) (-27 + 3x) = 6 + -1(x + 5) Reorder the terms: -27 + 3x = 6 + -1(5 + x) -27 + 3x = 6 + (5 * -1 + x * -1) -27 + 3x = 6 + (-5 + -1x) Combine like terms: 6 + -5 = 1 -27 + 3x = 1 + -1x Solving -27 + 3x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + 3x + x = 1 + -1x + x Combine like terms: 3x + x = 4x -27 + 4x = 1 + -1x + x Combine like terms: -1x + x = 0 -27 + 4x = 1 + 0 -27 + 4x = 1 Add '27' to each side of the equation. -27 + 27 + 4x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 1 + 27 4x = 1 + 27 Combine like terms: 1 + 27 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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