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Simplifying 6x + -3x + 6 = 5x + -38 Reorder the terms: 6 + 6x + -3x = 5x + -38 Combine like terms: 6x + -3x = 3x 6 + 3x = 5x + -38 Reorder the terms: 6 + 3x = -38 + 5x Solving 6 + 3x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 3x + -5x = -38 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = -38 + 0 6 + -2x = -38 Add '-6' to each side of the equation. 6 + -6 + -2x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -38 + -6 -2x = -38 + -6 Combine like terms: -38 + -6 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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