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Simplifying 4x + 7 = 35 + -10x Reorder the terms: 7 + 4x = 35 + -10x Solving 7 + 4x = 35 + -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. 7 + 4x + 10x = 35 + -10x + 10x Combine like terms: 4x + 10x = 14x 7 + 14x = 35 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 14x = 35 + 0 7 + 14x = 35 Add '-7' to each side of the equation. 7 + -7 + 14x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 35 + -7 14x = 35 + -7 Combine like terms: 35 + -7 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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