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Simplifying (x + -4) + -2 = 4(x + 3) Reorder the terms: (-4 + x) + -2 = 4(x + 3) Remove parenthesis around (-4 + x) -4 + x + -2 = 4(x + 3) Reorder the terms: -4 + -2 + x = 4(x + 3) Combine like terms: -4 + -2 = -6 -6 + x = 4(x + 3) Reorder the terms: -6 + x = 4(3 + x) -6 + x = (3 * 4 + x * 4) -6 + x = (12 + 4x) Solving -6 + x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + x + -4x = 12 + 4x + -4x Combine like terms: x + -4x = -3x -6 + -3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3x = 12 + 0 -6 + -3x = 12 Add '6' to each side of the equation. -6 + 6 + -3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 12 + 6 -3x = 12 + 6 Combine like terms: 12 + 6 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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