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Simplifying 17x + -4x + 27 = 4x + -18 Reorder the terms: 27 + 17x + -4x = 4x + -18 Combine like terms: 17x + -4x = 13x 27 + 13x = 4x + -18 Reorder the terms: 27 + 13x = -18 + 4x Solving 27 + 13x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 13x + -4x = -18 + 4x + -4x Combine like terms: 13x + -4x = 9x 27 + 9x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 9x = -18 + 0 27 + 9x = -18 Add '-27' to each side of the equation. 27 + -27 + 9x = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = -18 + -27 9x = -18 + -27 Combine like terms: -18 + -27 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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