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Simplifying 4(x + 1) + 2(3x + -7) = 0 Reorder the terms: 4(1 + x) + 2(3x + -7) = 0 (1 * 4 + x * 4) + 2(3x + -7) = 0 (4 + 4x) + 2(3x + -7) = 0 Reorder the terms: 4 + 4x + 2(-7 + 3x) = 0 4 + 4x + (-7 * 2 + 3x * 2) = 0 4 + 4x + (-14 + 6x) = 0 Reorder the terms: 4 + -14 + 4x + 6x = 0 Combine like terms: 4 + -14 = -10 -10 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x -10 + 10x = 0 Solving -10 + 10x = 0 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 + 10x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 0 + 10 10x = 0 + 10 Combine like terms: 0 + 10 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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