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Simplifying 6x + -2 = 6(x + 8) + -2x Reorder the terms: -2 + 6x = 6(x + 8) + -2x Reorder the terms: -2 + 6x = 6(8 + x) + -2x -2 + 6x = (8 * 6 + x * 6) + -2x -2 + 6x = (48 + 6x) + -2x Combine like terms: 6x + -2x = 4x -2 + 6x = 48 + 4x Solving -2 + 6x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 6x + -4x = 48 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = 48 + 0 -2 + 2x = 48 Add '2' to each side of the equation. -2 + 2 + 2x = 48 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 48 + 2 2x = 48 + 2 Combine like terms: 48 + 2 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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