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Simplifying 5x + 38 + -6x = 3 + -7x + 5 Reorder the terms: 38 + 5x + -6x = 3 + -7x + 5 Combine like terms: 5x + -6x = -1x 38 + -1x = 3 + -7x + 5 Reorder the terms: 38 + -1x = 3 + 5 + -7x Combine like terms: 3 + 5 = 8 38 + -1x = 8 + -7x Solving 38 + -1x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 38 + -1x + 7x = 8 + -7x + 7x Combine like terms: -1x + 7x = 6x 38 + 6x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 38 + 6x = 8 + 0 38 + 6x = 8 Add '-38' to each side of the equation. 38 + -38 + 6x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = 8 + -38 6x = 8 + -38 Combine like terms: 8 + -38 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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