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Simplifying 2(x + -2) = 52 + -6x Reorder the terms: 2(-2 + x) = 52 + -6x (-2 * 2 + x * 2) = 52 + -6x (-4 + 2x) = 52 + -6x Solving -4 + 2x = 52 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 2x + 6x = 52 + -6x + 6x Combine like terms: 2x + 6x = 8x -4 + 8x = 52 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 8x = 52 + 0 -4 + 8x = 52 Add '4' to each side of the equation. -4 + 4 + 8x = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 52 + 4 8x = 52 + 4 Combine like terms: 52 + 4 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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