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Simplifying 4x + 38 + -5x = 1 + -6x + 2 Reorder the terms: 38 + 4x + -5x = 1 + -6x + 2 Combine like terms: 4x + -5x = -1x 38 + -1x = 1 + -6x + 2 Reorder the terms: 38 + -1x = 1 + 2 + -6x Combine like terms: 1 + 2 = 3 38 + -1x = 3 + -6x Solving 38 + -1x = 3 + -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 + -1x + 6x = 3 + -6x + 6x Combine like terms: -1x + 6x = 5x 38 + 5x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 5x = 3 + 0 38 + 5x = 3 Add '-38' to each side of the equation. 38 + -38 + 5x = 3 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = 3 + -38 5x = 3 + -38 Combine like terms: 3 + -38 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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