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Simplifying 3x + -38 = 5x + -12 Reorder the terms: -38 + 3x = 5x + -12 Reorder the terms: -38 + 3x = -12 + 5x Solving -38 + 3x = -12 + 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. -38 + 3x + -5x = -12 + 5x + -5x Combine like terms: 3x + -5x = -2x -38 + -2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + -2x = -12 + 0 -38 + -2x = -12 Add '38' to each side of the equation. -38 + 38 + -2x = -12 + 38 Combine like terms: -38 + 38 = 0 0 + -2x = -12 + 38 -2x = -12 + 38 Combine like terms: -12 + 38 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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