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Simplifying -8(4x + 48) + 3052 = -2482 + -18(14x + -5) Reorder the terms: -8(48 + 4x) + 3052 = -2482 + -18(14x + -5) (48 * -8 + 4x * -8) + 3052 = -2482 + -18(14x + -5) (-384 + -32x) + 3052 = -2482 + -18(14x + -5) Reorder the terms: -384 + 3052 + -32x = -2482 + -18(14x + -5) Combine like terms: -384 + 3052 = 2668 2668 + -32x = -2482 + -18(14x + -5) Reorder the terms: 2668 + -32x = -2482 + -18(-5 + 14x) 2668 + -32x = -2482 + (-5 * -18 + 14x * -18) 2668 + -32x = -2482 + (90 + -252x) Combine like terms: -2482 + 90 = -2392 2668 + -32x = -2392 + -252x Solving 2668 + -32x = -2392 + -252x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '252x' to each side of the equation. 2668 + -32x + 252x = -2392 + -252x + 252x Combine like terms: -32x + 252x = 220x 2668 + 220x = -2392 + -252x + 252x Combine like terms: -252x + 252x = 0 2668 + 220x = -2392 + 0 2668 + 220x = -2392 Add '-2668' to each side of the equation. 2668 + -2668 + 220x = -2392 + -2668 Combine like terms: 2668 + -2668 = 0 0 + 220x = -2392 + -2668 220x = -2392 + -2668 Combine like terms: -2392 + -2668 = -5060 220x = -5060 Divide each side by '220'. x = -23 Simplifying x = -23
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