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Simplifying 6x + 2 = 5(x + 9) + -4 Reorder the terms: 2 + 6x = 5(x + 9) + -4 Reorder the terms: 2 + 6x = 5(9 + x) + -4 2 + 6x = (9 * 5 + x * 5) + -4 2 + 6x = (45 + 5x) + -4 Reorder the terms: 2 + 6x = 45 + -4 + 5x Combine like terms: 45 + -4 = 41 2 + 6x = 41 + 5x Solving 2 + 6x = 41 + 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. 2 + 6x + -5x = 41 + 5x + -5x Combine like terms: 6x + -5x = 1x 2 + 1x = 41 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x = 41 + 0 2 + 1x = 41 Add '-2' to each side of the equation. 2 + -2 + 1x = 41 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 41 + -2 1x = 41 + -2 Combine like terms: 41 + -2 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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