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Simplifying 7(2x + -3) = 3 + 2(x + 5) + 7 Reorder the terms: 7(-3 + 2x) = 3 + 2(x + 5) + 7 (-3 * 7 + 2x * 7) = 3 + 2(x + 5) + 7 (-21 + 14x) = 3 + 2(x + 5) + 7 Reorder the terms: -21 + 14x = 3 + 2(5 + x) + 7 -21 + 14x = 3 + (5 * 2 + x * 2) + 7 -21 + 14x = 3 + (10 + 2x) + 7 Reorder the terms: -21 + 14x = 3 + 10 + 7 + 2x Combine like terms: 3 + 10 = 13 -21 + 14x = 13 + 7 + 2x Combine like terms: 13 + 7 = 20 -21 + 14x = 20 + 2x Solving -21 + 14x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 14x + -2x = 20 + 2x + -2x Combine like terms: 14x + -2x = 12x -21 + 12x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 12x = 20 + 0 -21 + 12x = 20 Add '21' to each side of the equation. -21 + 21 + 12x = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 20 + 21 12x = 20 + 21 Combine like terms: 20 + 21 = 41 12x = 41 Divide each side by '12'. x = 3.416666667 Simplifying x = 3.416666667
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