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