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Simplifying 13(4x + 27) = 13(-18x + -10) Reorder the terms: 13(27 + 4x) = 13(-18x + -10) (27 * 13 + 4x * 13) = 13(-18x + -10) (351 + 52x) = 13(-18x + -10) Reorder the terms: 351 + 52x = 13(-10 + -18x) 351 + 52x = (-10 * 13 + -18x * 13) 351 + 52x = (-130 + -234x) Solving 351 + 52x = -130 + -234x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '234x' to each side of the equation. 351 + 52x + 234x = -130 + -234x + 234x Combine like terms: 52x + 234x = 286x 351 + 286x = -130 + -234x + 234x Combine like terms: -234x + 234x = 0 351 + 286x = -130 + 0 351 + 286x = -130 Add '-351' to each side of the equation. 351 + -351 + 286x = -130 + -351 Combine like terms: 351 + -351 = 0 0 + 286x = -130 + -351 286x = -130 + -351 Combine like terms: -130 + -351 = -481 286x = -481 Divide each side by '286'. x = -1.681818182 Simplifying x = -1.681818182
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