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Simplifying 2(3x + -4) = 20 + 2x Reorder the terms: 2(-4 + 3x) = 20 + 2x (-4 * 2 + 3x * 2) = 20 + 2x (-8 + 6x) = 20 + 2x Solving -8 + 6x = 20 + 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. -8 + 6x + -2x = 20 + 2x + -2x Combine like terms: 6x + -2x = 4x -8 + 4x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 4x = 20 + 0 -8 + 4x = 20 Add '8' to each side of the equation. -8 + 8 + 4x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 20 + 8 4x = 20 + 8 Combine like terms: 20 + 8 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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