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Simplifying 6x + -54 + -1(5x + 27) = 23 Reorder the terms: 6x + -54 + -1(27 + 5x) = 23 6x + -54 + (27 * -1 + 5x * -1) = 23 6x + -54 + (-27 + -5x) = 23 Reorder the terms: -54 + -27 + 6x + -5x = 23 Combine like terms: -54 + -27 = -81 -81 + 6x + -5x = 23 Combine like terms: 6x + -5x = 1x -81 + 1x = 23 Solving -81 + 1x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 1x = 23 + 81 Combine like terms: -81 + 81 = 0 0 + 1x = 23 + 81 1x = 23 + 81 Combine like terms: 23 + 81 = 104 1x = 104 Divide each side by '1'. x = 104 Simplifying x = 104
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