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Simplifying -1x + -6(x + 4) = -2(3x + 1) + x Reorder the terms: -1x + -6(4 + x) = -2(3x + 1) + x -1x + (4 * -6 + x * -6) = -2(3x + 1) + x -1x + (-24 + -6x) = -2(3x + 1) + x Reorder the terms: -24 + -1x + -6x = -2(3x + 1) + x Combine like terms: -1x + -6x = -7x -24 + -7x = -2(3x + 1) + x Reorder the terms: -24 + -7x = -2(1 + 3x) + x -24 + -7x = (1 * -2 + 3x * -2) + x -24 + -7x = (-2 + -6x) + x Combine like terms: -6x + x = -5x -24 + -7x = -2 + -5x Solving -24 + -7x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + -7x + 5x = -2 + -5x + 5x Combine like terms: -7x + 5x = -2x -24 + -2x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + -2x = -2 + 0 -24 + -2x = -2 Add '24' to each side of the equation. -24 + 24 + -2x = -2 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -2 + 24 -2x = -2 + 24 Combine like terms: -2 + 24 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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