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Simplifying 7(2x + -3) = 3(x + 1) Reorder the terms: 7(-3 + 2x) = 3(x + 1) (-3 * 7 + 2x * 7) = 3(x + 1) (-21 + 14x) = 3(x + 1) Reorder the terms: -21 + 14x = 3(1 + x) -21 + 14x = (1 * 3 + x * 3) -21 + 14x = (3 + 3x) Solving -21 + 14x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -21 + 14x + -3x = 3 + 3x + -3x Combine like terms: 14x + -3x = 11x -21 + 11x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 11x = 3 + 0 -21 + 11x = 3 Add '21' to each side of the equation. -21 + 21 + 11x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = 3 + 21 11x = 3 + 21 Combine like terms: 3 + 21 = 24 11x = 24 Divide each side by '11'. x = 2.181818182 Simplifying x = 2.181818182
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