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Simplifying 10(-2x + 1) = 19(x + 1) Reorder the terms: 10(1 + -2x) = 19(x + 1) (1 * 10 + -2x * 10) = 19(x + 1) (10 + -20x) = 19(x + 1) Reorder the terms: 10 + -20x = 19(1 + x) 10 + -20x = (1 * 19 + x * 19) 10 + -20x = (19 + 19x) Solving 10 + -20x = 19 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 10 + -20x + -19x = 19 + 19x + -19x Combine like terms: -20x + -19x = -39x 10 + -39x = 19 + 19x + -19x Combine like terms: 19x + -19x = 0 10 + -39x = 19 + 0 10 + -39x = 19 Add '-10' to each side of the equation. 10 + -10 + -39x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -39x = 19 + -10 -39x = 19 + -10 Combine like terms: 19 + -10 = 9 -39x = 9 Divide each side by '-39'. x = -0.2307692308 Simplifying x = -0.2307692308
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