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Simplifying 4(3x + -2) = 10x + 2 Reorder the terms: 4(-2 + 3x) = 10x + 2 (-2 * 4 + 3x * 4) = 10x + 2 (-8 + 12x) = 10x + 2 Reorder the terms: -8 + 12x = 2 + 10x Solving -8 + 12x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 12x + -10x = 2 + 10x + -10x Combine like terms: 12x + -10x = 2x -8 + 2x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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