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Simplifying 2(4x + -1(x + 3)) = 2x + 6 Reorder the terms: 2(4x + -1(3 + x)) = 2x + 6 2(4x + (3 * -1 + x * -1)) = 2x + 6 2(4x + (-3 + -1x)) = 2x + 6 Reorder the terms: 2(-3 + 4x + -1x) = 2x + 6 Combine like terms: 4x + -1x = 3x 2(-3 + 3x) = 2x + 6 (-3 * 2 + 3x * 2) = 2x + 6 (-6 + 6x) = 2x + 6 Reorder the terms: -6 + 6x = 6 + 2x Solving -6 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x -6 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 4x = 6 + 0 -6 + 4x = 6 Add '6' to each side of the equation. -6 + 6 + 4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 6 + 6 4x = 6 + 6 Combine like terms: 6 + 6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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