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Simplifying (3x + -66) + (x + 18) + (0.17x + 53) = 0 Reorder the terms: (-66 + 3x) + (x + 18) + (0.17x + 53) = 0 Remove parenthesis around (-66 + 3x) -66 + 3x + (x + 18) + (0.17x + 53) = 0 Reorder the terms: -66 + 3x + (18 + x) + (0.17x + 53) = 0 Remove parenthesis around (18 + x) -66 + 3x + 18 + x + (0.17x + 53) = 0 Reorder the terms: -66 + 3x + 18 + x + (53 + 0.17x) = 0 Remove parenthesis around (53 + 0.17x) -66 + 3x + 18 + x + 53 + 0.17x = 0 Reorder the terms: -66 + 18 + 53 + 3x + x + 0.17x = 0 Combine like terms: -66 + 18 = -48 -48 + 53 + 3x + x + 0.17x = 0 Combine like terms: -48 + 53 = 5 5 + 3x + x + 0.17x = 0 Combine like terms: 3x + x = 4x 5 + 4x + 0.17x = 0 Combine like terms: 4x + 0.17x = 4.17x 5 + 4.17x = 0 Solving 5 + 4.17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4.17x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4.17x = 0 + -5 4.17x = 0 + -5 Combine like terms: 0 + -5 = -5 4.17x = -5 Divide each side by '4.17'. x = -1.199040767 Simplifying x = -1.199040767
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