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Simplifying 2(x + 4) + 2(2x + -7) = 42 Reorder the terms: 2(4 + x) + 2(2x + -7) = 42 (4 * 2 + x * 2) + 2(2x + -7) = 42 (8 + 2x) + 2(2x + -7) = 42 Reorder the terms: 8 + 2x + 2(-7 + 2x) = 42 8 + 2x + (-7 * 2 + 2x * 2) = 42 8 + 2x + (-14 + 4x) = 42 Reorder the terms: 8 + -14 + 2x + 4x = 42 Combine like terms: 8 + -14 = -6 -6 + 2x + 4x = 42 Combine like terms: 2x + 4x = 6x -6 + 6x = 42 Solving -6 + 6x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 42 + 6 6x = 42 + 6 Combine like terms: 42 + 6 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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