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Simplifying 52 = 2x + -6(-1x + -2) Reorder the terms: 52 = 2x + -6(-2 + -1x) 52 = 2x + (-2 * -6 + -1x * -6) 52 = 2x + (12 + 6x) Reorder the terms: 52 = 12 + 2x + 6x Combine like terms: 2x + 6x = 8x 52 = 12 + 8x Solving 52 = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 52 + -8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 52 + -8x = 12 + 0 52 + -8x = 12 Add '-52' to each side of the equation. 52 + -52 + -8x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -8x = 12 + -52 -8x = 12 + -52 Combine like terms: 12 + -52 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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