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Simplifying 7x + 10 = 40 + -8x Reorder the terms: 10 + 7x = 40 + -8x Solving 10 + 7x = 40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 7x + 8x = 40 + -8x + 8x Combine like terms: 7x + 8x = 15x 10 + 15x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 15x = 40 + 0 10 + 15x = 40 Add '-10' to each side of the equation. 10 + -10 + 15x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = 40 + -10 15x = 40 + -10 Combine like terms: 40 + -10 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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