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Simplifying 7(2x + -3) = 3(4x + 5) Reorder the terms: 7(-3 + 2x) = 3(4x + 5) (-3 * 7 + 2x * 7) = 3(4x + 5) (-21 + 14x) = 3(4x + 5) Reorder the terms: -21 + 14x = 3(5 + 4x) -21 + 14x = (5 * 3 + 4x * 3) -21 + 14x = (15 + 12x) Solving -21 + 14x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -21 + 14x + -12x = 15 + 12x + -12x Combine like terms: 14x + -12x = 2x -21 + 2x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + 2x = 15 + 0 -21 + 2x = 15 Add '21' to each side of the equation. -21 + 21 + 2x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 15 + 21 2x = 15 + 21 Combine like terms: 15 + 21 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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