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Simplifying -38 + 5x = -6(6 + -1x) -38 + 5x = (6 * -6 + -1x * -6) -38 + 5x = (-36 + 6x) Solving -38 + 5x = -36 + 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. -38 + 5x + -6x = -36 + 6x + -6x Combine like terms: 5x + -6x = -1x -38 + -1x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + -1x = -36 + 0 -38 + -1x = -36 Add '38' to each side of the equation. -38 + 38 + -1x = -36 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = -36 + 38 -1x = -36 + 38 Combine like terms: -36 + 38 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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