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Simplifying -6 + 8(6x + 2) = 7x + 10 Reorder the terms: -6 + 8(2 + 6x) = 7x + 10 -6 + (2 * 8 + 6x * 8) = 7x + 10 -6 + (16 + 48x) = 7x + 10 Combine like terms: -6 + 16 = 10 10 + 48x = 7x + 10 Reorder the terms: 10 + 48x = 10 + 7x Add '-10' to each side of the equation. 10 + -10 + 48x = 10 + -10 + 7x Combine like terms: 10 + -10 = 0 0 + 48x = 10 + -10 + 7x 48x = 10 + -10 + 7x Combine like terms: 10 + -10 = 0 48x = 0 + 7x 48x = 7x Solving 48x = 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. 48x + -7x = 7x + -7x Combine like terms: 48x + -7x = 41x 41x = 7x + -7x Combine like terms: 7x + -7x = 0 41x = 0 Divide each side by '41'. x = 0 Simplifying x = 0
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