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Simplifying -6x + -1(x + 8) + 3x = -3(x + -2) + -12 Reorder the terms: -6x + -1(8 + x) + 3x = -3(x + -2) + -12 -6x + (8 * -1 + x * -1) + 3x = -3(x + -2) + -12 -6x + (-8 + -1x) + 3x = -3(x + -2) + -12 Reorder the terms: -8 + -6x + -1x + 3x = -3(x + -2) + -12 Combine like terms: -6x + -1x = -7x -8 + -7x + 3x = -3(x + -2) + -12 Combine like terms: -7x + 3x = -4x -8 + -4x = -3(x + -2) + -12 Reorder the terms: -8 + -4x = -3(-2 + x) + -12 -8 + -4x = (-2 * -3 + x * -3) + -12 -8 + -4x = (6 + -3x) + -12 Reorder the terms: -8 + -4x = 6 + -12 + -3x Combine like terms: 6 + -12 = -6 -8 + -4x = -6 + -3x Solving -8 + -4x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + -4x + 3x = -6 + -3x + 3x Combine like terms: -4x + 3x = -1x -8 + -1x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + -1x = -6 + 0 -8 + -1x = -6 Add '8' to each side of the equation. -8 + 8 + -1x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -6 + 8 -1x = -6 + 8 Combine like terms: -6 + 8 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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