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