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Simplifying 8x + -1(6x + 12) = 2 + -1(2x + -9) Reorder the terms: 8x + -1(12 + 6x) = 2 + -1(2x + -9) 8x + (12 * -1 + 6x * -1) = 2 + -1(2x + -9) 8x + (-12 + -6x) = 2 + -1(2x + -9) Reorder the terms: -12 + 8x + -6x = 2 + -1(2x + -9) Combine like terms: 8x + -6x = 2x -12 + 2x = 2 + -1(2x + -9) Reorder the terms: -12 + 2x = 2 + -1(-9 + 2x) -12 + 2x = 2 + (-9 * -1 + 2x * -1) -12 + 2x = 2 + (9 + -2x) Combine like terms: 2 + 9 = 11 -12 + 2x = 11 + -2x Solving -12 + 2x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 2x + 2x = 11 + -2x + 2x Combine like terms: 2x + 2x = 4x -12 + 4x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 4x = 11 + 0 -12 + 4x = 11 Add '12' to each side of the equation. -12 + 12 + 4x = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 11 + 12 4x = 11 + 12 Combine like terms: 11 + 12 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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