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Simplifying 8(x + 17) * 17 + 2x = 17x + 38(x * 9) + 1 Reorder the terms: 8(17 + x) * 17 + 2x = 17x + 38(x * 9) + 1 Reorder the terms for easier multiplication: 8 * 17(17 + x) + 2x = 17x + 38(x * 9) + 1 Multiply 8 * 17 136(17 + x) + 2x = 17x + 38(x * 9) + 1 (17 * 136 + x * 136) + 2x = 17x + 38(x * 9) + 1 (2312 + 136x) + 2x = 17x + 38(x * 9) + 1 Combine like terms: 136x + 2x = 138x 2312 + 138x = 17x + 38(x * 9) + 1 Reorder the terms for easier multiplication: 2312 + 138x = 17x + 38(9x) + 1 Remove parenthesis around (9x) 2312 + 138x = 17x + 38 * 9x + 1 Multiply 38 * 9 2312 + 138x = 17x + 342x + 1 Reorder the terms: 2312 + 138x = 1 + 17x + 342x Combine like terms: 17x + 342x = 359x 2312 + 138x = 1 + 359x Solving 2312 + 138x = 1 + 359x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-359x' to each side of the equation. 2312 + 138x + -359x = 1 + 359x + -359x Combine like terms: 138x + -359x = -221x 2312 + -221x = 1 + 359x + -359x Combine like terms: 359x + -359x = 0 2312 + -221x = 1 + 0 2312 + -221x = 1 Add '-2312' to each side of the equation. 2312 + -2312 + -221x = 1 + -2312 Combine like terms: 2312 + -2312 = 0 0 + -221x = 1 + -2312 -221x = 1 + -2312 Combine like terms: 1 + -2312 = -2311 -221x = -2311 Divide each side by '-221'. x = 10.45701357 Simplifying x = 10.45701357
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