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