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Simplifying 2(4x + 1) + 5(x + 2) = -7 Reorder the terms: 2(1 + 4x) + 5(x + 2) = -7 (1 * 2 + 4x * 2) + 5(x + 2) = -7 (2 + 8x) + 5(x + 2) = -7 Reorder the terms: 2 + 8x + 5(2 + x) = -7 2 + 8x + (2 * 5 + x * 5) = -7 2 + 8x + (10 + 5x) = -7 Reorder the terms: 2 + 10 + 8x + 5x = -7 Combine like terms: 2 + 10 = 12 12 + 8x + 5x = -7 Combine like terms: 8x + 5x = 13x 12 + 13x = -7 Solving 12 + 13x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 13x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = -7 + -12 13x = -7 + -12 Combine like terms: -7 + -12 = -19 13x = -19 Divide each side by '13'. x = -1.461538462 Simplifying x = -1.461538462
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