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Simplifying 7x + 5 = 2(4x + 5) Reorder the terms: 5 + 7x = 2(4x + 5) Reorder the terms: 5 + 7x = 2(5 + 4x) 5 + 7x = (5 * 2 + 4x * 2) 5 + 7x = (10 + 8x) Solving 5 + 7x = 10 + 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. 5 + 7x + -8x = 10 + 8x + -8x Combine like terms: 7x + -8x = -1x 5 + -1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -1x = 10 + 0 5 + -1x = 10 Add '-5' to each side of the equation. 5 + -5 + -1x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 10 + -5 -1x = 10 + -5 Combine like terms: 10 + -5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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