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Simplifying 3(5x + -4) = 8x + 2 Reorder the terms: 3(-4 + 5x) = 8x + 2 (-4 * 3 + 5x * 3) = 8x + 2 (-12 + 15x) = 8x + 2 Reorder the terms: -12 + 15x = 2 + 8x Solving -12 + 15x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 15x + -8x = 2 + 8x + -8x Combine like terms: 15x + -8x = 7x -12 + 7x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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