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Simplifying 14 + -7x + 3(2x + -3) = 5(2x + 1) Reorder the terms: 14 + -7x + 3(-3 + 2x) = 5(2x + 1) 14 + -7x + (-3 * 3 + 2x * 3) = 5(2x + 1) 14 + -7x + (-9 + 6x) = 5(2x + 1) Reorder the terms: 14 + -9 + -7x + 6x = 5(2x + 1) Combine like terms: 14 + -9 = 5 5 + -7x + 6x = 5(2x + 1) Combine like terms: -7x + 6x = -1x 5 + -1x = 5(2x + 1) Reorder the terms: 5 + -1x = 5(1 + 2x) 5 + -1x = (1 * 5 + 2x * 5) 5 + -1x = (5 + 10x) Add '-5' to each side of the equation. 5 + -5 + -1x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 0 + -1x = 5 + -5 + 10x -1x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 -1x = 0 + 10x -1x = 10x Solving -1x = 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. -1x + -10x = 10x + -10x Combine like terms: -1x + -10x = -11x -11x = 10x + -10x Combine like terms: 10x + -10x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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