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Simplifying 2x + 6 + 10 = 2(4x + 6) Reorder the terms: 6 + 10 + 2x = 2(4x + 6) Combine like terms: 6 + 10 = 16 16 + 2x = 2(4x + 6) Reorder the terms: 16 + 2x = 2(6 + 4x) 16 + 2x = (6 * 2 + 4x * 2) 16 + 2x = (12 + 8x) Solving 16 + 2x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 16 + 2x + -8x = 12 + 8x + -8x Combine like terms: 2x + -8x = -6x 16 + -6x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -6x = 12 + 0 16 + -6x = 12 Add '-16' to each side of the equation. 16 + -16 + -6x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 12 + -16 -6x = 12 + -16 Combine like terms: 12 + -16 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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