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Simplifying 3(x + 4) = 7(2x + -3) Reorder the terms: 3(4 + x) = 7(2x + -3) (4 * 3 + x * 3) = 7(2x + -3) (12 + 3x) = 7(2x + -3) Reorder the terms: 12 + 3x = 7(-3 + 2x) 12 + 3x = (-3 * 7 + 2x * 7) 12 + 3x = (-21 + 14x) Solving 12 + 3x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 3x + -14x = -21 + 14x + -14x Combine like terms: 3x + -14x = -11x 12 + -11x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -11x = -21 + 0 12 + -11x = -21 Add '-12' to each side of the equation. 12 + -12 + -11x = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -21 + -12 -11x = -21 + -12 Combine like terms: -21 + -12 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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