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Simplifying 6 + -4x + -5 = 4x + 12 + -1(2 + -1X) Reorder the terms: 6 + -5 + -4x = 4x + 12 + -1(2 + -1X) Combine like terms: 6 + -5 = 1 1 + -4x = 4x + 12 + -1(2 + -1X) 1 + -4x = 4x + 12 + (2 * -1 + -1X * -1) 1 + -4x = 4x + 12 + (-2 + 1X) Reorder the terms: 1 + -4x = 12 + -2 + 1X + 4x Combine like terms: 12 + -2 = 10 1 + -4x = 10 + 1X + 4x Solving 1 + -4x = 10 + 1X + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -4x + -4x = 10 + 1X + 4x + -4x Combine like terms: -4x + -4x = -8x 1 + -8x = 10 + 1X + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -8x = 10 + 1X + 0 1 + -8x = 10 + 1X Add '-1' to each side of the equation. 1 + -1 + -8x = 10 + -1 + 1X Combine like terms: 1 + -1 = 0 0 + -8x = 10 + -1 + 1X -8x = 10 + -1 + 1X Combine like terms: 10 + -1 = 9 -8x = 9 + 1X Divide each side by '-8'. x = -1.125 + -0.125X Simplifying x = -1.125 + -0.125X
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