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Simplifying 52 = -2x + -3(-2x + -4) Reorder the terms: 52 = -2x + -3(-4 + -2x) 52 = -2x + (-4 * -3 + -2x * -3) 52 = -2x + (12 + 6x) Reorder the terms: 52 = 12 + -2x + 6x Combine like terms: -2x + 6x = 4x 52 = 12 + 4x Solving 52 = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 52 + -4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 52 + -4x = 12 + 0 52 + -4x = 12 Add '-52' to each side of the equation. 52 + -52 + -4x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = 12 + -52 -4x = 12 + -52 Combine like terms: 12 + -52 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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