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Simplifying 10x + 70 = 7x + 100 Reorder the terms: 70 + 10x = 7x + 100 Reorder the terms: 70 + 10x = 100 + 7x Solving 70 + 10x = 100 + 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. 70 + 10x + -7x = 100 + 7x + -7x Combine like terms: 10x + -7x = 3x 70 + 3x = 100 + 7x + -7x Combine like terms: 7x + -7x = 0 70 + 3x = 100 + 0 70 + 3x = 100 Add '-70' to each side of the equation. 70 + -70 + 3x = 100 + -70 Combine like terms: 70 + -70 = 0 0 + 3x = 100 + -70 3x = 100 + -70 Combine like terms: 100 + -70 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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