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Simplifying 10 + 7x = 40 + -3x Solving 10 + 7x = 40 + -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. 10 + 7x + 3x = 40 + -3x + 3x Combine like terms: 7x + 3x = 10x 10 + 10x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 10x = 40 + 0 10 + 10x = 40 Add '-10' to each side of the equation. 10 + -10 + 10x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 40 + -10 10x = 40 + -10 Combine like terms: 40 + -10 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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