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Simplifying 7(3x + -2) = 5(2x + -1) Reorder the terms: 7(-2 + 3x) = 5(2x + -1) (-2 * 7 + 3x * 7) = 5(2x + -1) (-14 + 21x) = 5(2x + -1) Reorder the terms: -14 + 21x = 5(-1 + 2x) -14 + 21x = (-1 * 5 + 2x * 5) -14 + 21x = (-5 + 10x) Solving -14 + 21x = -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 + 21x + -10x = -5 + 10x + -10x Combine like terms: 21x + -10x = 11x -14 + 11x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + 11x = -5 + 0 -14 + 11x = -5 Add '14' to each side of the equation. -14 + 14 + 11x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = -5 + 14 11x = -5 + 14 Combine like terms: -5 + 14 = 9 11x = 9 Divide each side by '11'. x = 0.8181818182 Simplifying x = 0.8181818182
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