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Simplifying -16(2x + -8) + -1(18x + -6) = -12 + 2(6x + -6) Reorder the terms: -16(-8 + 2x) + -1(18x + -6) = -12 + 2(6x + -6) (-8 * -16 + 2x * -16) + -1(18x + -6) = -12 + 2(6x + -6) (128 + -32x) + -1(18x + -6) = -12 + 2(6x + -6) Reorder the terms: 128 + -32x + -1(-6 + 18x) = -12 + 2(6x + -6) 128 + -32x + (-6 * -1 + 18x * -1) = -12 + 2(6x + -6) 128 + -32x + (6 + -18x) = -12 + 2(6x + -6) Reorder the terms: 128 + 6 + -32x + -18x = -12 + 2(6x + -6) Combine like terms: 128 + 6 = 134 134 + -32x + -18x = -12 + 2(6x + -6) Combine like terms: -32x + -18x = -50x 134 + -50x = -12 + 2(6x + -6) Reorder the terms: 134 + -50x = -12 + 2(-6 + 6x) 134 + -50x = -12 + (-6 * 2 + 6x * 2) 134 + -50x = -12 + (-12 + 12x) Combine like terms: -12 + -12 = -24 134 + -50x = -24 + 12x Solving 134 + -50x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 134 + -50x + -12x = -24 + 12x + -12x Combine like terms: -50x + -12x = -62x 134 + -62x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 134 + -62x = -24 + 0 134 + -62x = -24 Add '-134' to each side of the equation. 134 + -134 + -62x = -24 + -134 Combine like terms: 134 + -134 = 0 0 + -62x = -24 + -134 -62x = -24 + -134 Combine like terms: -24 + -134 = -158 -62x = -158 Divide each side by '-62'. x = 2.548387097 Simplifying x = 2.548387097
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