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Simplifying 6x + 2 = 2(x + 4) + -2 Reorder the terms: 2 + 6x = 2(x + 4) + -2 Reorder the terms: 2 + 6x = 2(4 + x) + -2 2 + 6x = (4 * 2 + x * 2) + -2 2 + 6x = (8 + 2x) + -2 Reorder the terms: 2 + 6x = 8 + -2 + 2x Combine like terms: 8 + -2 = 6 2 + 6x = 6 + 2x Solving 2 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x 2 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 4x = 6 + 0 2 + 4x = 6 Add '-2' to each side of the equation. 2 + -2 + 4x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 6 + -2 4x = 6 + -2 Combine like terms: 6 + -2 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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