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Simplifying -182 = 4x + -6(2x + 17) Reorder the terms: -182 = 4x + -6(17 + 2x) -182 = 4x + (17 * -6 + 2x * -6) -182 = 4x + (-102 + -12x) Reorder the terms: -182 = -102 + 4x + -12x Combine like terms: 4x + -12x = -8x -182 = -102 + -8x Solving -182 = -102 + -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. -182 + 8x = -102 + -8x + 8x Combine like terms: -8x + 8x = 0 -182 + 8x = -102 + 0 -182 + 8x = -102 Add '182' to each side of the equation. -182 + 182 + 8x = -102 + 182 Combine like terms: -182 + 182 = 0 0 + 8x = -102 + 182 8x = -102 + 182 Combine like terms: -102 + 182 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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