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Simplifying 52 + -12(x + 7) = x Reorder the terms: 52 + -12(7 + x) = x 52 + (7 * -12 + x * -12) = x 52 + (-84 + -12x) = x Combine like terms: 52 + -84 = -32 -32 + -12x = x Solving -32 + -12x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + -12x + -1x = x + -1x Combine like terms: -12x + -1x = -13x -32 + -13x = x + -1x Combine like terms: x + -1x = 0 -32 + -13x = 0 Add '32' to each side of the equation. -32 + 32 + -13x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -13x = 0 + 32 -13x = 0 + 32 Combine like terms: 0 + 32 = 32 -13x = 32 Divide each side by '-13'. x = -2.461538462 Simplifying x = -2.461538462
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