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Simplifying -38 + -1x = -6(1 + 5) + -3x Combine like terms: 1 + 5 = 6 -38 + -1x = -6(6) + -3x Multiply -6 * 6 -38 + -1x = -36 + -3x Solving -38 + -1x = -36 + -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. -38 + -1x + 3x = -36 + -3x + 3x Combine like terms: -1x + 3x = 2x -38 + 2x = -36 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + 2x = -36 + 0 -38 + 2x = -36 Add '38' to each side of the equation. -38 + 38 + 2x = -36 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -36 + 38 2x = -36 + 38 Combine like terms: -36 + 38 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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