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Simplifying -4(10x + 11) + 15x + 20 = 18(7x + 10) + -17x + 18 Reorder the terms: -4(11 + 10x) + 15x + 20 = 18(7x + 10) + -17x + 18 (11 * -4 + 10x * -4) + 15x + 20 = 18(7x + 10) + -17x + 18 (-44 + -40x) + 15x + 20 = 18(7x + 10) + -17x + 18 Reorder the terms: -44 + 20 + -40x + 15x = 18(7x + 10) + -17x + 18 Combine like terms: -44 + 20 = -24 -24 + -40x + 15x = 18(7x + 10) + -17x + 18 Combine like terms: -40x + 15x = -25x -24 + -25x = 18(7x + 10) + -17x + 18 Reorder the terms: -24 + -25x = 18(10 + 7x) + -17x + 18 -24 + -25x = (10 * 18 + 7x * 18) + -17x + 18 -24 + -25x = (180 + 126x) + -17x + 18 Reorder the terms: -24 + -25x = 180 + 18 + 126x + -17x Combine like terms: 180 + 18 = 198 -24 + -25x = 198 + 126x + -17x Combine like terms: 126x + -17x = 109x -24 + -25x = 198 + 109x Solving -24 + -25x = 198 + 109x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-109x' to each side of the equation. -24 + -25x + -109x = 198 + 109x + -109x Combine like terms: -25x + -109x = -134x -24 + -134x = 198 + 109x + -109x Combine like terms: 109x + -109x = 0 -24 + -134x = 198 + 0 -24 + -134x = 198 Add '24' to each side of the equation. -24 + 24 + -134x = 198 + 24 Combine like terms: -24 + 24 = 0 0 + -134x = 198 + 24 -134x = 198 + 24 Combine like terms: 198 + 24 = 222 -134x = 222 Divide each side by '-134'. x = -1.656716418 Simplifying x = -1.656716418
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