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Simplifying 6(7 + 10x) + 2(5 + 4x) = 8 (7 * 6 + 10x * 6) + 2(5 + 4x) = 8 (42 + 60x) + 2(5 + 4x) = 8 42 + 60x + (5 * 2 + 4x * 2) = 8 42 + 60x + (10 + 8x) = 8 Reorder the terms: 42 + 10 + 60x + 8x = 8 Combine like terms: 42 + 10 = 52 52 + 60x + 8x = 8 Combine like terms: 60x + 8x = 68x 52 + 68x = 8 Solving 52 + 68x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 68x = 8 + -52 Combine like terms: 52 + -52 = 0 0 + 68x = 8 + -52 68x = 8 + -52 Combine like terms: 8 + -52 = -44 68x = -44 Divide each side by '68'. x = -0.6470588235 Simplifying x = -0.6470588235
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