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Simplifying 4(2x + 7) + 3(3x + 11) = 0 Reorder the terms: 4(7 + 2x) + 3(3x + 11) = 0 (7 * 4 + 2x * 4) + 3(3x + 11) = 0 (28 + 8x) + 3(3x + 11) = 0 Reorder the terms: 28 + 8x + 3(11 + 3x) = 0 28 + 8x + (11 * 3 + 3x * 3) = 0 28 + 8x + (33 + 9x) = 0 Reorder the terms: 28 + 33 + 8x + 9x = 0 Combine like terms: 28 + 33 = 61 61 + 8x + 9x = 0 Combine like terms: 8x + 9x = 17x 61 + 17x = 0 Solving 61 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 17x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 17x = 0 + -61 17x = 0 + -61 Combine like terms: 0 + -61 = -61 17x = -61 Divide each side by '17'. x = -3.588235294 Simplifying x = -3.588235294
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