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Simplifying 4(x + -2) + 2(x + 3) = 6 Reorder the terms: 4(-2 + x) + 2(x + 3) = 6 (-2 * 4 + x * 4) + 2(x + 3) = 6 (-8 + 4x) + 2(x + 3) = 6 Reorder the terms: -8 + 4x + 2(3 + x) = 6 -8 + 4x + (3 * 2 + x * 2) = 6 -8 + 4x + (6 + 2x) = 6 Reorder the terms: -8 + 6 + 4x + 2x = 6 Combine like terms: -8 + 6 = -2 -2 + 4x + 2x = 6 Combine like terms: 4x + 2x = 6x -2 + 6x = 6 Solving -2 + 6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 6 + 2 6x = 6 + 2 Combine like terms: 6 + 2 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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