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Simplifying 7x + -3(-5x + -12) = -52 Reorder the terms: 7x + -3(-12 + -5x) = -52 7x + (-12 * -3 + -5x * -3) = -52 7x + (36 + 15x) = -52 Reorder the terms: 36 + 7x + 15x = -52 Combine like terms: 7x + 15x = 22x 36 + 22x = -52 Solving 36 + 22x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 22x = -52 + -36 Combine like terms: 36 + -36 = 0 0 + 22x = -52 + -36 22x = -52 + -36 Combine like terms: -52 + -36 = -88 22x = -88 Divide each side by '22'. x = -4 Simplifying x = -4
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