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Simplifying 3(2x + -4) + 4x = 2x + 8 Reorder the terms: 3(-4 + 2x) + 4x = 2x + 8 (-4 * 3 + 2x * 3) + 4x = 2x + 8 (-12 + 6x) + 4x = 2x + 8 Combine like terms: 6x + 4x = 10x -12 + 10x = 2x + 8 Reorder the terms: -12 + 10x = 8 + 2x Solving -12 + 10x = 8 + 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. -12 + 10x + -2x = 8 + 2x + -2x Combine like terms: 10x + -2x = 8x -12 + 8x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 8x = 8 + 0 -12 + 8x = 8 Add '12' to each side of the equation. -12 + 12 + 8x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 8 + 12 8x = 8 + 12 Combine like terms: 8 + 12 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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