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Simplifying 4(x + 1) + -2(x + 3) = 6 Reorder the terms: 4(1 + x) + -2(x + 3) = 6 (1 * 4 + x * 4) + -2(x + 3) = 6 (4 + 4x) + -2(x + 3) = 6 Reorder the terms: 4 + 4x + -2(3 + x) = 6 4 + 4x + (3 * -2 + x * -2) = 6 4 + 4x + (-6 + -2x) = 6 Reorder the terms: 4 + -6 + 4x + -2x = 6 Combine like terms: 4 + -6 = -2 -2 + 4x + -2x = 6 Combine like terms: 4x + -2x = 2x -2 + 2x = 6 Solving -2 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6 + 2 2x = 6 + 2 Combine like terms: 6 + 2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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