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Simplifying 52 = -3x + 2(-4x + -18) Reorder the terms: 52 = -3x + 2(-18 + -4x) 52 = -3x + (-18 * 2 + -4x * 2) 52 = -3x + (-36 + -8x) Reorder the terms: 52 = -36 + -3x + -8x Combine like terms: -3x + -8x = -11x 52 = -36 + -11x Solving 52 = -36 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 52 + 11x = -36 + -11x + 11x Combine like terms: -11x + 11x = 0 52 + 11x = -36 + 0 52 + 11x = -36 Add '-52' to each side of the equation. 52 + -52 + 11x = -36 + -52 Combine like terms: 52 + -52 = 0 0 + 11x = -36 + -52 11x = -36 + -52 Combine like terms: -36 + -52 = -88 11x = -88 Divide each side by '11'. x = -8 Simplifying x = -8
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