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Simplifying -4(X + 8) + 2X = 16(X + -2) + -14 Reorder the terms: -4(8 + X) + 2X = 16(X + -2) + -14 (8 * -4 + X * -4) + 2X = 16(X + -2) + -14 (-32 + -4X) + 2X = 16(X + -2) + -14 Combine like terms: -4X + 2X = -2X -32 + -2X = 16(X + -2) + -14 Reorder the terms: -32 + -2X = 16(-2 + X) + -14 -32 + -2X = (-2 * 16 + X * 16) + -14 -32 + -2X = (-32 + 16X) + -14 Reorder the terms: -32 + -2X = -32 + -14 + 16X Combine like terms: -32 + -14 = -46 -32 + -2X = -46 + 16X Solving -32 + -2X = -46 + 16X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16X' to each side of the equation. -32 + -2X + -16X = -46 + 16X + -16X Combine like terms: -2X + -16X = -18X -32 + -18X = -46 + 16X + -16X Combine like terms: 16X + -16X = 0 -32 + -18X = -46 + 0 -32 + -18X = -46 Add '32' to each side of the equation. -32 + 32 + -18X = -46 + 32 Combine like terms: -32 + 32 = 0 0 + -18X = -46 + 32 -18X = -46 + 32 Combine like terms: -46 + 32 = -14 -18X = -14 Divide each side by '-18'. X = 0.7777777778 Simplifying X = 0.7777777778
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