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Simplifying -16(-11x + 9) + 13(-16x + -8) = 12 + -11 + -16(-6x + 18) Reorder the terms: -16(9 + -11x) + 13(-16x + -8) = 12 + -11 + -16(-6x + 18) (9 * -16 + -11x * -16) + 13(-16x + -8) = 12 + -11 + -16(-6x + 18) (-144 + 176x) + 13(-16x + -8) = 12 + -11 + -16(-6x + 18) Reorder the terms: -144 + 176x + 13(-8 + -16x) = 12 + -11 + -16(-6x + 18) -144 + 176x + (-8 * 13 + -16x * 13) = 12 + -11 + -16(-6x + 18) -144 + 176x + (-104 + -208x) = 12 + -11 + -16(-6x + 18) Reorder the terms: -144 + -104 + 176x + -208x = 12 + -11 + -16(-6x + 18) Combine like terms: -144 + -104 = -248 -248 + 176x + -208x = 12 + -11 + -16(-6x + 18) Combine like terms: 176x + -208x = -32x -248 + -32x = 12 + -11 + -16(-6x + 18) Reorder the terms: -248 + -32x = 12 + -11 + -16(18 + -6x) -248 + -32x = 12 + -11 + (18 * -16 + -6x * -16) -248 + -32x = 12 + -11 + (-288 + 96x) Combine like terms: 12 + -11 = 1 -248 + -32x = 1 + -288 + 96x Combine like terms: 1 + -288 = -287 -248 + -32x = -287 + 96x Solving -248 + -32x = -287 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -248 + -32x + -96x = -287 + 96x + -96x Combine like terms: -32x + -96x = -128x -248 + -128x = -287 + 96x + -96x Combine like terms: 96x + -96x = 0 -248 + -128x = -287 + 0 -248 + -128x = -287 Add '248' to each side of the equation. -248 + 248 + -128x = -287 + 248 Combine like terms: -248 + 248 = 0 0 + -128x = -287 + 248 -128x = -287 + 248 Combine like terms: -287 + 248 = -39 -128x = -39 Divide each side by '-128'. x = 0.3046875 Simplifying x = 0.3046875
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