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Simplifying 57x + 2(45x + -3) + 3(3x + 9) + (5x + -2) = 12 Reorder the terms: 57x + 2(-3 + 45x) + 3(3x + 9) + (5x + -2) = 12 57x + (-3 * 2 + 45x * 2) + 3(3x + 9) + (5x + -2) = 12 57x + (-6 + 90x) + 3(3x + 9) + (5x + -2) = 12 Reorder the terms: 57x + -6 + 90x + 3(9 + 3x) + (5x + -2) = 12 57x + -6 + 90x + (9 * 3 + 3x * 3) + (5x + -2) = 12 57x + -6 + 90x + (27 + 9x) + (5x + -2) = 12 Reorder the terms: 57x + -6 + 90x + 27 + 9x + (-2 + 5x) = 12 Remove parenthesis around (-2 + 5x) 57x + -6 + 90x + 27 + 9x + -2 + 5x = 12 Reorder the terms: -6 + 27 + -2 + 57x + 90x + 9x + 5x = 12 Combine like terms: -6 + 27 = 21 21 + -2 + 57x + 90x + 9x + 5x = 12 Combine like terms: 21 + -2 = 19 19 + 57x + 90x + 9x + 5x = 12 Combine like terms: 57x + 90x = 147x 19 + 147x + 9x + 5x = 12 Combine like terms: 147x + 9x = 156x 19 + 156x + 5x = 12 Combine like terms: 156x + 5x = 161x 19 + 161x = 12 Solving 19 + 161x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 161x = 12 + -19 Combine like terms: 19 + -19 = 0 0 + 161x = 12 + -19 161x = 12 + -19 Combine like terms: 12 + -19 = -7 161x = -7 Divide each side by '161'. x = -0.04347826087 Simplifying x = -0.04347826087
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