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Simplifying 8(2x + 7) + 5(3x + 14) = 0 Reorder the terms: 8(7 + 2x) + 5(3x + 14) = 0 (7 * 8 + 2x * 8) + 5(3x + 14) = 0 (56 + 16x) + 5(3x + 14) = 0 Reorder the terms: 56 + 16x + 5(14 + 3x) = 0 56 + 16x + (14 * 5 + 3x * 5) = 0 56 + 16x + (70 + 15x) = 0 Reorder the terms: 56 + 70 + 16x + 15x = 0 Combine like terms: 56 + 70 = 126 126 + 16x + 15x = 0 Combine like terms: 16x + 15x = 31x 126 + 31x = 0 Solving 126 + 31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + 31x = 0 + -126 Combine like terms: 126 + -126 = 0 0 + 31x = 0 + -126 31x = 0 + -126 Combine like terms: 0 + -126 = -126 31x = -126 Divide each side by '31'. x = -4.064516129 Simplifying x = -4.064516129
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