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Simplifying 8(x + 2) = 2(4x + 1) * 14 Reorder the terms: 8(2 + x) = 2(4x + 1) * 14 (2 * 8 + x * 8) = 2(4x + 1) * 14 (16 + 8x) = 2(4x + 1) * 14 Reorder the terms: 16 + 8x = 2(1 + 4x) * 14 Reorder the terms for easier multiplication: 16 + 8x = 2 * 14(1 + 4x) Multiply 2 * 14 16 + 8x = 28(1 + 4x) 16 + 8x = (1 * 28 + 4x * 28) 16 + 8x = (28 + 112x) Solving 16 + 8x = 28 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. 16 + 8x + -112x = 28 + 112x + -112x Combine like terms: 8x + -112x = -104x 16 + -104x = 28 + 112x + -112x Combine like terms: 112x + -112x = 0 16 + -104x = 28 + 0 16 + -104x = 28 Add '-16' to each side of the equation. 16 + -16 + -104x = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -104x = 28 + -16 -104x = 28 + -16 Combine like terms: 28 + -16 = 12 -104x = 12 Divide each side by '-104'. x = -0.1153846154 Simplifying x = -0.1153846154
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