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Simplifying 2(x + 7) = 12 + -4x + 10 Reorder the terms: 2(7 + x) = 12 + -4x + 10 (7 * 2 + x * 2) = 12 + -4x + 10 (14 + 2x) = 12 + -4x + 10 Reorder the terms: 14 + 2x = 12 + 10 + -4x Combine like terms: 12 + 10 = 22 14 + 2x = 22 + -4x Solving 14 + 2x = 22 + -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. 14 + 2x + 4x = 22 + -4x + 4x Combine like terms: 2x + 4x = 6x 14 + 6x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 6x = 22 + 0 14 + 6x = 22 Add '-14' to each side of the equation. 14 + -14 + 6x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 22 + -14 6x = 22 + -14 Combine like terms: 22 + -14 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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