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Simplifying 2(2x + 14) = 3x + -6 + 44 Reorder the terms: 2(14 + 2x) = 3x + -6 + 44 (14 * 2 + 2x * 2) = 3x + -6 + 44 (28 + 4x) = 3x + -6 + 44 Reorder the terms: 28 + 4x = -6 + 44 + 3x Combine like terms: -6 + 44 = 38 28 + 4x = 38 + 3x Solving 28 + 4x = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 4x + -3x = 38 + 3x + -3x Combine like terms: 4x + -3x = 1x 28 + 1x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 1x = 38 + 0 28 + 1x = 38 Add '-28' to each side of the equation. 28 + -28 + 1x = 38 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 38 + -28 1x = 38 + -28 Combine like terms: 38 + -28 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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