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Simplifying 3(x + 1) + -2(x + 3) = 4 Reorder the terms: 3(1 + x) + -2(x + 3) = 4 (1 * 3 + x * 3) + -2(x + 3) = 4 (3 + 3x) + -2(x + 3) = 4 Reorder the terms: 3 + 3x + -2(3 + x) = 4 3 + 3x + (3 * -2 + x * -2) = 4 3 + 3x + (-6 + -2x) = 4 Reorder the terms: 3 + -6 + 3x + -2x = 4 Combine like terms: 3 + -6 = -3 -3 + 3x + -2x = 4 Combine like terms: 3x + -2x = 1x -3 + 1x = 4 Solving -3 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 4 + 3 1x = 4 + 3 Combine like terms: 4 + 3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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