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Simplifying 19 + -5x = 8 + -9(3 + -2x) 19 + -5x = 8 + (3 * -9 + -2x * -9) 19 + -5x = 8 + (-27 + 18x) Combine like terms: 8 + -27 = -19 19 + -5x = -19 + 18x Solving 19 + -5x = -19 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 19 + -5x + -18x = -19 + 18x + -18x Combine like terms: -5x + -18x = -23x 19 + -23x = -19 + 18x + -18x Combine like terms: 18x + -18x = 0 19 + -23x = -19 + 0 19 + -23x = -19 Add '-19' to each side of the equation. 19 + -19 + -23x = -19 + -19 Combine like terms: 19 + -19 = 0 0 + -23x = -19 + -19 -23x = -19 + -19 Combine like terms: -19 + -19 = -38 -23x = -38 Divide each side by '-23'. x = 1.652173913 Simplifying x = 1.652173913
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