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Simplifying 7x + 10 = 6(x + 8) + 2 Reorder the terms: 10 + 7x = 6(x + 8) + 2 Reorder the terms: 10 + 7x = 6(8 + x) + 2 10 + 7x = (8 * 6 + x * 6) + 2 10 + 7x = (48 + 6x) + 2 Reorder the terms: 10 + 7x = 48 + 2 + 6x Combine like terms: 48 + 2 = 50 10 + 7x = 50 + 6x Solving 10 + 7x = 50 + 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. 10 + 7x + -6x = 50 + 6x + -6x Combine like terms: 7x + -6x = 1x 10 + 1x = 50 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 1x = 50 + 0 10 + 1x = 50 Add '-10' to each side of the equation. 10 + -10 + 1x = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 50 + -10 1x = 50 + -10 Combine like terms: 50 + -10 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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