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Simplifying 6x + -1(2x + 9) = -1(-12x + 8) Reorder the terms: 6x + -1(9 + 2x) = -1(-12x + 8) 6x + (9 * -1 + 2x * -1) = -1(-12x + 8) 6x + (-9 + -2x) = -1(-12x + 8) Reorder the terms: -9 + 6x + -2x = -1(-12x + 8) Combine like terms: 6x + -2x = 4x -9 + 4x = -1(-12x + 8) Reorder the terms: -9 + 4x = -1(8 + -12x) -9 + 4x = (8 * -1 + -12x * -1) -9 + 4x = (-8 + 12x) Solving -9 + 4x = -8 + 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. -9 + 4x + -12x = -8 + 12x + -12x Combine like terms: 4x + -12x = -8x -9 + -8x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -8x = -8 + 0 -9 + -8x = -8 Add '9' to each side of the equation. -9 + 9 + -8x = -8 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = -8 + 9 -8x = -8 + 9 Combine like terms: -8 + 9 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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