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Simplifying 2(3x + -4) + 6 = 12 + 2x Reorder the terms: 2(-4 + 3x) + 6 = 12 + 2x (-4 * 2 + 3x * 2) + 6 = 12 + 2x (-8 + 6x) + 6 = 12 + 2x Reorder the terms: -8 + 6 + 6x = 12 + 2x Combine like terms: -8 + 6 = -2 -2 + 6x = 12 + 2x Solving -2 + 6x = 12 + 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. -2 + 6x + -2x = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x -2 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 4x = 12 + 0 -2 + 4x = 12 Add '2' to each side of the equation. -2 + 2 + 4x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 12 + 2 4x = 12 + 2 Combine like terms: 12 + 2 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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