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Simplifying 2x + 5(x + -6) = 3x + 14 Reorder the terms: 2x + 5(-6 + x) = 3x + 14 2x + (-6 * 5 + x * 5) = 3x + 14 2x + (-30 + 5x) = 3x + 14 Reorder the terms: -30 + 2x + 5x = 3x + 14 Combine like terms: 2x + 5x = 7x -30 + 7x = 3x + 14 Reorder the terms: -30 + 7x = 14 + 3x Solving -30 + 7x = 14 + 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. -30 + 7x + -3x = 14 + 3x + -3x Combine like terms: 7x + -3x = 4x -30 + 4x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 4x = 14 + 0 -30 + 4x = 14 Add '30' to each side of the equation. -30 + 30 + 4x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 14 + 30 4x = 14 + 30 Combine like terms: 14 + 30 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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