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Simplifying 52 = 3x + 2(2x + -2) Reorder the terms: 52 = 3x + 2(-2 + 2x) 52 = 3x + (-2 * 2 + 2x * 2) 52 = 3x + (-4 + 4x) Reorder the terms: 52 = -4 + 3x + 4x Combine like terms: 3x + 4x = 7x 52 = -4 + 7x Solving 52 = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 52 + -7x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -7x = -4 + 0 52 + -7x = -4 Add '-52' to each side of the equation. 52 + -52 + -7x = -4 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = -4 + -52 -7x = -4 + -52 Combine like terms: -4 + -52 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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