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Simplifying 5x + 10 = 7x + 38 Reorder the terms: 10 + 5x = 7x + 38 Reorder the terms: 10 + 5x = 38 + 7x Solving 10 + 5x = 38 + 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. 10 + 5x + -7x = 38 + 7x + -7x Combine like terms: 5x + -7x = -2x 10 + -2x = 38 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -2x = 38 + 0 10 + -2x = 38 Add '-10' to each side of the equation. 10 + -10 + -2x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 38 + -10 -2x = 38 + -10 Combine like terms: 38 + -10 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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