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Simplifying 11x + -14 = 5(2x + 3) + -1 Reorder the terms: -14 + 11x = 5(2x + 3) + -1 Reorder the terms: -14 + 11x = 5(3 + 2x) + -1 -14 + 11x = (3 * 5 + 2x * 5) + -1 -14 + 11x = (15 + 10x) + -1 Reorder the terms: -14 + 11x = 15 + -1 + 10x Combine like terms: 15 + -1 = 14 -14 + 11x = 14 + 10x Solving -14 + 11x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + 11x + -10x = 14 + 10x + -10x Combine like terms: 11x + -10x = 1x -14 + 1x = 14 + 10x + -10x Combine like terms: 10x + -10x = 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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