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Simplifying 2(x + 6) + 2x = 5(x + 1) + 1 Reorder the terms: 2(6 + x) + 2x = 5(x + 1) + 1 (6 * 2 + x * 2) + 2x = 5(x + 1) + 1 (12 + 2x) + 2x = 5(x + 1) + 1 Combine like terms: 2x + 2x = 4x 12 + 4x = 5(x + 1) + 1 Reorder the terms: 12 + 4x = 5(1 + x) + 1 12 + 4x = (1 * 5 + x * 5) + 1 12 + 4x = (5 + 5x) + 1 Reorder the terms: 12 + 4x = 5 + 1 + 5x Combine like terms: 5 + 1 = 6 12 + 4x = 6 + 5x Solving 12 + 4x = 6 + 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. 12 + 4x + -5x = 6 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = 6 + 0 12 + -1x = 6 Add '-12' to each side of the equation. 12 + -12 + -1x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 6 + -12 -1x = 6 + -12 Combine like terms: 6 + -12 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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