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Simplifying 3x + 10 + -7x = 15 + -14x + 10 + -5 Reorder the terms: 10 + 3x + -7x = 15 + -14x + 10 + -5 Combine like terms: 3x + -7x = -4x 10 + -4x = 15 + -14x + 10 + -5 Reorder the terms: 10 + -4x = 15 + 10 + -5 + -14x Combine like terms: 15 + 10 = 25 10 + -4x = 25 + -5 + -14x Combine like terms: 25 + -5 = 20 10 + -4x = 20 + -14x Solving 10 + -4x = 20 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 10 + -4x + 14x = 20 + -14x + 14x Combine like terms: -4x + 14x = 10x 10 + 10x = 20 + -14x + 14x Combine like terms: -14x + 14x = 0 10 + 10x = 20 + 0 10 + 10x = 20 Add '-10' to each side of the equation. 10 + -10 + 10x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 20 + -10 10x = 20 + -10 Combine like terms: 20 + -10 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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