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Simplifying 3x + -2(7 + -1x) = 5(2x + 1) 3x + (7 * -2 + -1x * -2) = 5(2x + 1) 3x + (-14 + 2x) = 5(2x + 1) Reorder the terms: -14 + 3x + 2x = 5(2x + 1) Combine like terms: 3x + 2x = 5x -14 + 5x = 5(2x + 1) Reorder the terms: -14 + 5x = 5(1 + 2x) -14 + 5x = (1 * 5 + 2x * 5) -14 + 5x = (5 + 10x) Solving -14 + 5x = 5 + 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 + 5x + -10x = 5 + 10x + -10x Combine like terms: 5x + -10x = -5x -14 + -5x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -5x = 5 + 0 -14 + -5x = 5 Add '14' to each side of the equation. -14 + 14 + -5x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 5 + 14 -5x = 5 + 14 Combine like terms: 5 + 14 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8
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