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Simplifying -38 + -5x = 10x + 24 Reorder the terms: -38 + -5x = 24 + 10x Solving -38 + -5x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -38 + -5x + -10x = 24 + 10x + -10x Combine like terms: -5x + -10x = -15x -38 + -15x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -38 + -15x = 24 + 0 -38 + -15x = 24 Add '38' to each side of the equation. -38 + 38 + -15x = 24 + 38 Combine like terms: -38 + 38 = 0 0 + -15x = 24 + 38 -15x = 24 + 38 Combine like terms: 24 + 38 = 62 -15x = 62 Divide each side by '-15'. x = -4.133333333 Simplifying x = -4.133333333
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