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Simplifying -2(10 + -6x) = 52 + -3x (10 * -2 + -6x * -2) = 52 + -3x (-20 + 12x) = 52 + -3x Solving -20 + 12x = 52 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 12x + 3x = 52 + -3x + 3x Combine like terms: 12x + 3x = 15x -20 + 15x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 15x = 52 + 0 -20 + 15x = 52 Add '20' to each side of the equation. -20 + 20 + 15x = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 15x = 52 + 20 15x = 52 + 20 Combine like terms: 52 + 20 = 72 15x = 72 Divide each side by '15'. x = 4.8 Simplifying x = 4.8
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