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Simplifying (4x + -2) + (3x + 6) = 4x + -12 Reorder the terms: (-2 + 4x) + (3x + 6) = 4x + -12 Remove parenthesis around (-2 + 4x) -2 + 4x + (3x + 6) = 4x + -12 Reorder the terms: -2 + 4x + (6 + 3x) = 4x + -12 Remove parenthesis around (6 + 3x) -2 + 4x + 6 + 3x = 4x + -12 Reorder the terms: -2 + 6 + 4x + 3x = 4x + -12 Combine like terms: -2 + 6 = 4 4 + 4x + 3x = 4x + -12 Combine like terms: 4x + 3x = 7x 4 + 7x = 4x + -12 Reorder the terms: 4 + 7x = -12 + 4x Solving 4 + 7x = -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. 4 + 7x + -4x = -12 + 4x + -4x Combine like terms: 7x + -4x = 3x 4 + 3x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 3x = -12 + 0 4 + 3x = -12 Add '-4' to each side of the equation. 4 + -4 + 3x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -12 + -4 3x = -12 + -4 Combine like terms: -12 + -4 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333
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