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Simplifying 2x + 4x + 8 + 2 = 5(x + 7) Reorder the terms: 8 + 2 + 2x + 4x = 5(x + 7) Combine like terms: 8 + 2 = 10 10 + 2x + 4x = 5(x + 7) Combine like terms: 2x + 4x = 6x 10 + 6x = 5(x + 7) Reorder the terms: 10 + 6x = 5(7 + x) 10 + 6x = (7 * 5 + x * 5) 10 + 6x = (35 + 5x) Solving 10 + 6x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 6x + -5x = 35 + 5x + -5x Combine like terms: 6x + -5x = 1x 10 + 1x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 1x = 35 + 0 10 + 1x = 35 Add '-10' to each side of the equation. 10 + -10 + 1x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 35 + -10 1x = 35 + -10 Combine like terms: 35 + -10 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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