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Simplifying 7(2x + -3) = 5(x + 2) Reorder the terms: 7(-3 + 2x) = 5(x + 2) (-3 * 7 + 2x * 7) = 5(x + 2) (-21 + 14x) = 5(x + 2) Reorder the terms: -21 + 14x = 5(2 + x) -21 + 14x = (2 * 5 + x * 5) -21 + 14x = (10 + 5x) Solving -21 + 14x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + 14x + -5x = 10 + 5x + -5x Combine like terms: 14x + -5x = 9x -21 + 9x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 9x = 10 + 0 -21 + 9x = 10 Add '21' to each side of the equation. -21 + 21 + 9x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 10 + 21 9x = 10 + 21 Combine like terms: 10 + 21 = 31 9x = 31 Divide each side by '9'. x = 3.444444444 Simplifying x = 3.444444444
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