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Simplifying 3(x + 4) + -11(x + -1) = 54 Reorder the terms: 3(4 + x) + -11(x + -1) = 54 (4 * 3 + x * 3) + -11(x + -1) = 54 (12 + 3x) + -11(x + -1) = 54 Reorder the terms: 12 + 3x + -11(-1 + x) = 54 12 + 3x + (-1 * -11 + x * -11) = 54 12 + 3x + (11 + -11x) = 54 Reorder the terms: 12 + 11 + 3x + -11x = 54 Combine like terms: 12 + 11 = 23 23 + 3x + -11x = 54 Combine like terms: 3x + -11x = -8x 23 + -8x = 54 Solving 23 + -8x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -8x = 54 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = 54 + -23 -8x = 54 + -23 Combine like terms: 54 + -23 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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