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Simplifying 3(2x + -4) = 9 + -1(6x + 8) Reorder the terms: 3(-4 + 2x) = 9 + -1(6x + 8) (-4 * 3 + 2x * 3) = 9 + -1(6x + 8) (-12 + 6x) = 9 + -1(6x + 8) Reorder the terms: -12 + 6x = 9 + -1(8 + 6x) -12 + 6x = 9 + (8 * -1 + 6x * -1) -12 + 6x = 9 + (-8 + -6x) Combine like terms: 9 + -8 = 1 -12 + 6x = 1 + -6x Solving -12 + 6x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 6x + 6x = 1 + -6x + 6x Combine like terms: 6x + 6x = 12x -12 + 12x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 12x = 1 + 0 -12 + 12x = 1 Add '12' to each side of the equation. -12 + 12 + 12x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 1 + 12 12x = 1 + 12 Combine like terms: 1 + 12 = 13 12x = 13 Divide each side by '12'. x = 1.083333333 Simplifying x = 1.083333333
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