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Simplifying 28 = 2(x + -6) + 2(x + 6) Reorder the terms: 28 = 2(-6 + x) + 2(x + 6) 28 = (-6 * 2 + x * 2) + 2(x + 6) 28 = (-12 + 2x) + 2(x + 6) Reorder the terms: 28 = -12 + 2x + 2(6 + x) 28 = -12 + 2x + (6 * 2 + x * 2) 28 = -12 + 2x + (12 + 2x) Reorder the terms: 28 = -12 + 12 + 2x + 2x Combine like terms: -12 + 12 = 0 28 = 0 + 2x + 2x 28 = 2x + 2x Combine like terms: 2x + 2x = 4x 28 = 4x Solving 28 = 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. 28 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 28 + -4x = 0 Add '-28' to each side of the equation. 28 + -28 + -4x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 0 + -28 -4x = 0 + -28 Combine like terms: 0 + -28 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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