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Simplifying 2(1 + -7x) + 4(3x + 4) = 2 (1 * 2 + -7x * 2) + 4(3x + 4) = 2 (2 + -14x) + 4(3x + 4) = 2 Reorder the terms: 2 + -14x + 4(4 + 3x) = 2 2 + -14x + (4 * 4 + 3x * 4) = 2 2 + -14x + (16 + 12x) = 2 Reorder the terms: 2 + 16 + -14x + 12x = 2 Combine like terms: 2 + 16 = 18 18 + -14x + 12x = 2 Combine like terms: -14x + 12x = -2x 18 + -2x = 2 Solving 18 + -2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -2x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 2 + -18 -2x = 2 + -18 Combine like terms: 2 + -18 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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