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Simplifying 2x(4 + 8) + 6 = 10x + 6 Combine like terms: 4 + 8 = 12 2x(12) + 6 = 10x + 6 Reorder the terms for easier multiplication: 2 * 12x + 6 = 10x + 6 Multiply 2 * 12 24x + 6 = 10x + 6 Reorder the terms: 6 + 24x = 10x + 6 Reorder the terms: 6 + 24x = 6 + 10x Add '-6' to each side of the equation. 6 + -6 + 24x = 6 + -6 + 10x Combine like terms: 6 + -6 = 0 0 + 24x = 6 + -6 + 10x 24x = 6 + -6 + 10x Combine like terms: 6 + -6 = 0 24x = 0 + 10x 24x = 10x Solving 24x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24x + -10x = 10x + -10x Combine like terms: 24x + -10x = 14x 14x = 10x + -10x Combine like terms: 10x + -10x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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