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Simplifying 10x + -38 = 3x + 18 Reorder the terms: -38 + 10x = 3x + 18 Reorder the terms: -38 + 10x = 18 + 3x Solving -38 + 10x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -38 + 10x + -3x = 18 + 3x + -3x Combine like terms: 10x + -3x = 7x -38 + 7x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 7x = 18 + 0 -38 + 7x = 18 Add '38' to each side of the equation. -38 + 38 + 7x = 18 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = 18 + 38 7x = 18 + 38 Combine like terms: 18 + 38 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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