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Simplifying (4x + -2) + 2(x + -3) = -3(4x + 2) Reorder the terms: (-2 + 4x) + 2(x + -3) = -3(4x + 2) Remove parenthesis around (-2 + 4x) -2 + 4x + 2(x + -3) = -3(4x + 2) Reorder the terms: -2 + 4x + 2(-3 + x) = -3(4x + 2) -2 + 4x + (-3 * 2 + x * 2) = -3(4x + 2) -2 + 4x + (-6 + 2x) = -3(4x + 2) Reorder the terms: -2 + -6 + 4x + 2x = -3(4x + 2) Combine like terms: -2 + -6 = -8 -8 + 4x + 2x = -3(4x + 2) Combine like terms: 4x + 2x = 6x -8 + 6x = -3(4x + 2) Reorder the terms: -8 + 6x = -3(2 + 4x) -8 + 6x = (2 * -3 + 4x * -3) -8 + 6x = (-6 + -12x) Solving -8 + 6x = -6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + 6x + 12x = -6 + -12x + 12x Combine like terms: 6x + 12x = 18x -8 + 18x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 18x = -6 + 0 -8 + 18x = -6 Add '8' to each side of the equation. -8 + 8 + 18x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = -6 + 8 18x = -6 + 8 Combine like terms: -6 + 8 = 2 18x = 2 Divide each side by '18'. x = 0.1111111111 Simplifying x = 0.1111111111
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