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Simplifying -1x + -3(x + 6) = -5x + -12 Reorder the terms: -1x + -3(6 + x) = -5x + -12 -1x + (6 * -3 + x * -3) = -5x + -12 -1x + (-18 + -3x) = -5x + -12 Reorder the terms: -18 + -1x + -3x = -5x + -12 Combine like terms: -1x + -3x = -4x -18 + -4x = -5x + -12 Reorder the terms: -18 + -4x = -12 + -5x Solving -18 + -4x = -12 + -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. -18 + -4x + 5x = -12 + -5x + 5x Combine like terms: -4x + 5x = 1x -18 + 1x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 1x = -12 + 0 -18 + 1x = -12 Add '18' to each side of the equation. -18 + 18 + 1x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -12 + 18 1x = -12 + 18 Combine like terms: -12 + 18 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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