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Simplifying 15(11x + 13) = 9(-7x + 17) Reorder the terms: 15(13 + 11x) = 9(-7x + 17) (13 * 15 + 11x * 15) = 9(-7x + 17) (195 + 165x) = 9(-7x + 17) Reorder the terms: 195 + 165x = 9(17 + -7x) 195 + 165x = (17 * 9 + -7x * 9) 195 + 165x = (153 + -63x) Solving 195 + 165x = 153 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 195 + 165x + 63x = 153 + -63x + 63x Combine like terms: 165x + 63x = 228x 195 + 228x = 153 + -63x + 63x Combine like terms: -63x + 63x = 0 195 + 228x = 153 + 0 195 + 228x = 153 Add '-195' to each side of the equation. 195 + -195 + 228x = 153 + -195 Combine like terms: 195 + -195 = 0 0 + 228x = 153 + -195 228x = 153 + -195 Combine like terms: 153 + -195 = -42 228x = -42 Divide each side by '228'. x = -0.1842105263 Simplifying x = -0.1842105263
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