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Simplifying 10x + 2 = 2(3x + 5) Reorder the terms: 2 + 10x = 2(3x + 5) Reorder the terms: 2 + 10x = 2(5 + 3x) 2 + 10x = (5 * 2 + 3x * 2) 2 + 10x = (10 + 6x) Solving 2 + 10x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 10x + -6x = 10 + 6x + -6x Combine like terms: 10x + -6x = 4x 2 + 4x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 4x = 10 + 0 2 + 4x = 10 Add '-2' to each side of the equation. 2 + -2 + 4x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 10 + -2 4x = 10 + -2 Combine like terms: 10 + -2 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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