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Simplifying -8(4 + X) + -12 = 5(2X + 6) (4 * -8 + X * -8) + -12 = 5(2X + 6) (-32 + -8X) + -12 = 5(2X + 6) Reorder the terms: -32 + -12 + -8X = 5(2X + 6) Combine like terms: -32 + -12 = -44 -44 + -8X = 5(2X + 6) Reorder the terms: -44 + -8X = 5(6 + 2X) -44 + -8X = (6 * 5 + 2X * 5) -44 + -8X = (30 + 10X) Solving -44 + -8X = 30 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. -44 + -8X + -10X = 30 + 10X + -10X Combine like terms: -8X + -10X = -18X -44 + -18X = 30 + 10X + -10X Combine like terms: 10X + -10X = 0 -44 + -18X = 30 + 0 -44 + -18X = 30 Add '44' to each side of the equation. -44 + 44 + -18X = 30 + 44 Combine like terms: -44 + 44 = 0 0 + -18X = 30 + 44 -18X = 30 + 44 Combine like terms: 30 + 44 = 74 -18X = 74 Divide each side by '-18'. X = -4.111111111 Simplifying X = -4.111111111
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