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Simplifying 4(3x + -2) = 52 + 2x Reorder the terms: 4(-2 + 3x) = 52 + 2x (-2 * 4 + 3x * 4) = 52 + 2x (-8 + 12x) = 52 + 2x Solving -8 + 12x = 52 + 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 + 12x + -2x = 52 + 2x + -2x Combine like terms: 12x + -2x = 10x -8 + 10x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 10x = 52 + 0 -8 + 10x = 52 Add '8' to each side of the equation. -8 + 8 + 10x = 52 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 52 + 8 10x = 52 + 8 Combine like terms: 52 + 8 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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