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Simplifying 4(x + 1) + 2(x + -7) = 50 Reorder the terms: 4(1 + x) + 2(x + -7) = 50 (1 * 4 + x * 4) + 2(x + -7) = 50 (4 + 4x) + 2(x + -7) = 50 Reorder the terms: 4 + 4x + 2(-7 + x) = 50 4 + 4x + (-7 * 2 + x * 2) = 50 4 + 4x + (-14 + 2x) = 50 Reorder the terms: 4 + -14 + 4x + 2x = 50 Combine like terms: 4 + -14 = -10 -10 + 4x + 2x = 50 Combine like terms: 4x + 2x = 6x -10 + 6x = 50 Solving -10 + 6x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6x = 50 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 50 + 10 6x = 50 + 10 Combine like terms: 50 + 10 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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