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Simplifying -6x + -1(x + 4) = -2(3x + 8) Reorder the terms: -6x + -1(4 + x) = -2(3x + 8) -6x + (4 * -1 + x * -1) = -2(3x + 8) -6x + (-4 + -1x) = -2(3x + 8) Reorder the terms: -4 + -6x + -1x = -2(3x + 8) Combine like terms: -6x + -1x = -7x -4 + -7x = -2(3x + 8) Reorder the terms: -4 + -7x = -2(8 + 3x) -4 + -7x = (8 * -2 + 3x * -2) -4 + -7x = (-16 + -6x) Solving -4 + -7x = -16 + -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. -4 + -7x + 6x = -16 + -6x + 6x Combine like terms: -7x + 6x = -1x -4 + -1x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + -1x = -16 + 0 -4 + -1x = -16 Add '4' to each side of the equation. -4 + 4 + -1x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -16 + 4 -1x = -16 + 4 Combine like terms: -16 + 4 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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