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Simplifying 15(x + 13) + 19(2x + -17) + 24(4x + 98) + 33(7x + -1023) = 348085 Reorder the terms: 15(13 + x) + 19(2x + -17) + 24(4x + 98) + 33(7x + -1023) = 348085 (13 * 15 + x * 15) + 19(2x + -17) + 24(4x + 98) + 33(7x + -1023) = 348085 (195 + 15x) + 19(2x + -17) + 24(4x + 98) + 33(7x + -1023) = 348085 Reorder the terms: 195 + 15x + 19(-17 + 2x) + 24(4x + 98) + 33(7x + -1023) = 348085 195 + 15x + (-17 * 19 + 2x * 19) + 24(4x + 98) + 33(7x + -1023) = 348085 195 + 15x + (-323 + 38x) + 24(4x + 98) + 33(7x + -1023) = 348085 Reorder the terms: 195 + 15x + -323 + 38x + 24(98 + 4x) + 33(7x + -1023) = 348085 195 + 15x + -323 + 38x + (98 * 24 + 4x * 24) + 33(7x + -1023) = 348085 195 + 15x + -323 + 38x + (2352 + 96x) + 33(7x + -1023) = 348085 Reorder the terms: 195 + 15x + -323 + 38x + 2352 + 96x + 33(-1023 + 7x) = 348085 195 + 15x + -323 + 38x + 2352 + 96x + (-1023 * 33 + 7x * 33) = 348085 195 + 15x + -323 + 38x + 2352 + 96x + (-33759 + 231x) = 348085 Reorder the terms: 195 + -323 + 2352 + -33759 + 15x + 38x + 96x + 231x = 348085 Combine like terms: 195 + -323 = -128 -128 + 2352 + -33759 + 15x + 38x + 96x + 231x = 348085 Combine like terms: -128 + 2352 = 2224 2224 + -33759 + 15x + 38x + 96x + 231x = 348085 Combine like terms: 2224 + -33759 = -31535 -31535 + 15x + 38x + 96x + 231x = 348085 Combine like terms: 15x + 38x = 53x -31535 + 53x + 96x + 231x = 348085 Combine like terms: 53x + 96x = 149x -31535 + 149x + 231x = 348085 Combine like terms: 149x + 231x = 380x -31535 + 380x = 348085 Solving -31535 + 380x = 348085 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31535' to each side of the equation. -31535 + 31535 + 380x = 348085 + 31535 Combine like terms: -31535 + 31535 = 0 0 + 380x = 348085 + 31535 380x = 348085 + 31535 Combine like terms: 348085 + 31535 = 379620 380x = 379620 Divide each side by '380'. x = 999 Simplifying x = 999
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