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Simplifying 3(x + -23) = 27 + -3(x + -2) Reorder the terms: 3(-23 + x) = 27 + -3(x + -2) (-23 * 3 + x * 3) = 27 + -3(x + -2) (-69 + 3x) = 27 + -3(x + -2) Reorder the terms: -69 + 3x = 27 + -3(-2 + x) -69 + 3x = 27 + (-2 * -3 + x * -3) -69 + 3x = 27 + (6 + -3x) Combine like terms: 27 + 6 = 33 -69 + 3x = 33 + -3x Solving -69 + 3x = 33 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -69 + 3x + 3x = 33 + -3x + 3x Combine like terms: 3x + 3x = 6x -69 + 6x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 -69 + 6x = 33 + 0 -69 + 6x = 33 Add '69' to each side of the equation. -69 + 69 + 6x = 33 + 69 Combine like terms: -69 + 69 = 0 0 + 6x = 33 + 69 6x = 33 + 69 Combine like terms: 33 + 69 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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