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Simplifying 4x + 2(x + 6) = 2(x + 14) Reorder the terms: 4x + 2(6 + x) = 2(x + 14) 4x + (6 * 2 + x * 2) = 2(x + 14) 4x + (12 + 2x) = 2(x + 14) Reorder the terms: 12 + 4x + 2x = 2(x + 14) Combine like terms: 4x + 2x = 6x 12 + 6x = 2(x + 14) Reorder the terms: 12 + 6x = 2(14 + x) 12 + 6x = (14 * 2 + x * 2) 12 + 6x = (28 + 2x) Solving 12 + 6x = 28 + 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. 12 + 6x + -2x = 28 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = 28 + 0 12 + 4x = 28 Add '-12' to each side of the equation. 12 + -12 + 4x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 28 + -12 4x = 28 + -12 Combine like terms: 28 + -12 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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