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Simplifying 7(2x + -3) = 3(x + 4) Reorder the terms: 7(-3 + 2x) = 3(x + 4) (-3 * 7 + 2x * 7) = 3(x + 4) (-21 + 14x) = 3(x + 4) Reorder the terms: -21 + 14x = 3(4 + x) -21 + 14x = (4 * 3 + x * 3) -21 + 14x = (12 + 3x) Solving -21 + 14x = 12 + 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 = 12 + 3x + -3x Combine like terms: 14x + -3x = 11x -21 + 11x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 11x = 12 + 0 -21 + 11x = 12 Add '21' to each side of the equation. -21 + 21 + 11x = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 11x = 12 + 21 11x = 12 + 21 Combine like terms: 12 + 21 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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