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Simplifying 12(17 + -1x) = 15(6x + 1) (17 * 12 + -1x * 12) = 15(6x + 1) (204 + -12x) = 15(6x + 1) Reorder the terms: 204 + -12x = 15(1 + 6x) 204 + -12x = (1 * 15 + 6x * 15) 204 + -12x = (15 + 90x) Solving 204 + -12x = 15 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 204 + -12x + -90x = 15 + 90x + -90x Combine like terms: -12x + -90x = -102x 204 + -102x = 15 + 90x + -90x Combine like terms: 90x + -90x = 0 204 + -102x = 15 + 0 204 + -102x = 15 Add '-204' to each side of the equation. 204 + -204 + -102x = 15 + -204 Combine like terms: 204 + -204 = 0 0 + -102x = 15 + -204 -102x = 15 + -204 Combine like terms: 15 + -204 = -189 -102x = -189 Divide each side by '-102'. x = 1.852941176 Simplifying x = 1.852941176
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