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Simplifying 6x + -30 + -2x + -8 = 3x + -1 Reorder the terms: -30 + -8 + 6x + -2x = 3x + -1 Combine like terms: -30 + -8 = -38 -38 + 6x + -2x = 3x + -1 Combine like terms: 6x + -2x = 4x -38 + 4x = 3x + -1 Reorder the terms: -38 + 4x = -1 + 3x Solving -38 + 4x = -1 + 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 + 4x + -3x = -1 + 3x + -3x Combine like terms: 4x + -3x = 1x -38 + 1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 1x = -1 + 0 -38 + 1x = -1 Add '38' to each side of the equation. -38 + 38 + 1x = -1 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -1 + 38 1x = -1 + 38 Combine like terms: -1 + 38 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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