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Simplifying 16x + -14 = 5(3x + 5) + -11 Reorder the terms: -14 + 16x = 5(3x + 5) + -11 Reorder the terms: -14 + 16x = 5(5 + 3x) + -11 -14 + 16x = (5 * 5 + 3x * 5) + -11 -14 + 16x = (25 + 15x) + -11 Reorder the terms: -14 + 16x = 25 + -11 + 15x Combine like terms: 25 + -11 = 14 -14 + 16x = 14 + 15x Solving -14 + 16x = 14 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -14 + 16x + -15x = 14 + 15x + -15x Combine like terms: 16x + -15x = 1x -14 + 1x = 14 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 + 1x = 14 + 0 -14 + 1x = 14 Add '14' to each side of the equation. -14 + 14 + 1x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 14 + 14 1x = 14 + 14 Combine like terms: 14 + 14 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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