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Simplifying 2(6x + 2) + 8 = 6(2x + 1) + x + 1 Reorder the terms: 2(2 + 6x) + 8 = 6(2x + 1) + x + 1 (2 * 2 + 6x * 2) + 8 = 6(2x + 1) + x + 1 (4 + 12x) + 8 = 6(2x + 1) + x + 1 Reorder the terms: 4 + 8 + 12x = 6(2x + 1) + x + 1 Combine like terms: 4 + 8 = 12 12 + 12x = 6(2x + 1) + x + 1 Reorder the terms: 12 + 12x = 6(1 + 2x) + x + 1 12 + 12x = (1 * 6 + 2x * 6) + x + 1 12 + 12x = (6 + 12x) + x + 1 Reorder the terms: 12 + 12x = 6 + 1 + 12x + x Combine like terms: 6 + 1 = 7 12 + 12x = 7 + 12x + x Combine like terms: 12x + x = 13x 12 + 12x = 7 + 13x Solving 12 + 12x = 7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 12x + -13x = 7 + 13x + -13x Combine like terms: 12x + -13x = -1x 12 + -1x = 7 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -1x = 7 + 0 12 + -1x = 7 Add '-12' to each side of the equation. 12 + -12 + -1x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 7 + -12 -1x = 7 + -12 Combine like terms: 7 + -12 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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