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Simplifying 3(x + 13) * 15 = 4(x + -2) + -9 Reorder the terms: 3(13 + x) * 15 = 4(x + -2) + -9 Reorder the terms for easier multiplication: 3 * 15(13 + x) = 4(x + -2) + -9 Multiply 3 * 15 45(13 + x) = 4(x + -2) + -9 (13 * 45 + x * 45) = 4(x + -2) + -9 (585 + 45x) = 4(x + -2) + -9 Reorder the terms: 585 + 45x = 4(-2 + x) + -9 585 + 45x = (-2 * 4 + x * 4) + -9 585 + 45x = (-8 + 4x) + -9 Reorder the terms: 585 + 45x = -8 + -9 + 4x Combine like terms: -8 + -9 = -17 585 + 45x = -17 + 4x Solving 585 + 45x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 585 + 45x + -4x = -17 + 4x + -4x Combine like terms: 45x + -4x = 41x 585 + 41x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 585 + 41x = -17 + 0 585 + 41x = -17 Add '-585' to each side of the equation. 585 + -585 + 41x = -17 + -585 Combine like terms: 585 + -585 = 0 0 + 41x = -17 + -585 41x = -17 + -585 Combine like terms: -17 + -585 = -602 41x = -602 Divide each side by '41'. x = -14.68292683 Simplifying x = -14.68292683
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