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Simplifying 7(x + 2) + -4x = 2(x + 10) Reorder the terms: 7(2 + x) + -4x = 2(x + 10) (2 * 7 + x * 7) + -4x = 2(x + 10) (14 + 7x) + -4x = 2(x + 10) Combine like terms: 7x + -4x = 3x 14 + 3x = 2(x + 10) Reorder the terms: 14 + 3x = 2(10 + x) 14 + 3x = (10 * 2 + x * 2) 14 + 3x = (20 + 2x) Solving 14 + 3x = 20 + 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. 14 + 3x + -2x = 20 + 2x + -2x Combine like terms: 3x + -2x = 1x 14 + 1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 1x = 20 + 0 14 + 1x = 20 Add '-14' to each side of the equation. 14 + -14 + 1x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 20 + -14 1x = 20 + -14 Combine like terms: 20 + -14 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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