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Simplifying 7x + 9(3 + -2x) + -4(5 + 3x) + 20 = 23 7x + (3 * 9 + -2x * 9) + -4(5 + 3x) + 20 = 23 7x + (27 + -18x) + -4(5 + 3x) + 20 = 23 7x + 27 + -18x + (5 * -4 + 3x * -4) + 20 = 23 7x + 27 + -18x + (-20 + -12x) + 20 = 23 Reorder the terms: 27 + -20 + 20 + 7x + -18x + -12x = 23 Combine like terms: 27 + -20 = 7 7 + 20 + 7x + -18x + -12x = 23 Combine like terms: 7 + 20 = 27 27 + 7x + -18x + -12x = 23 Combine like terms: 7x + -18x = -11x 27 + -11x + -12x = 23 Combine like terms: -11x + -12x = -23x 27 + -23x = 23 Solving 27 + -23x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -23x = 23 + -27 Combine like terms: 27 + -27 = 0 0 + -23x = 23 + -27 -23x = 23 + -27 Combine like terms: 23 + -27 = -4 -23x = -4 Divide each side by '-23'. x = 0.1739130435 Simplifying x = 0.1739130435
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