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Simplifying 13(-45x + 27) = 13(-8x + -10) Reorder the terms: 13(27 + -45x) = 13(-8x + -10) (27 * 13 + -45x * 13) = 13(-8x + -10) (351 + -585x) = 13(-8x + -10) Reorder the terms: 351 + -585x = 13(-10 + -8x) 351 + -585x = (-10 * 13 + -8x * 13) 351 + -585x = (-130 + -104x) Solving 351 + -585x = -130 + -104x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '104x' to each side of the equation. 351 + -585x + 104x = -130 + -104x + 104x Combine like terms: -585x + 104x = -481x 351 + -481x = -130 + -104x + 104x Combine like terms: -104x + 104x = 0 351 + -481x = -130 + 0 351 + -481x = -130 Add '-351' to each side of the equation. 351 + -351 + -481x = -130 + -351 Combine like terms: 351 + -351 = 0 0 + -481x = -130 + -351 -481x = -130 + -351 Combine like terms: -130 + -351 = -481 -481x = -481 Divide each side by '-481'. x = 1 Simplifying x = 1
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