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Simplifying 3x + -4 = 7(2x + -3) Reorder the terms: -4 + 3x = 7(2x + -3) Reorder the terms: -4 + 3x = 7(-3 + 2x) -4 + 3x = (-3 * 7 + 2x * 7) -4 + 3x = (-21 + 14x) Solving -4 + 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. -4 + 3x + -14x = -21 + 14x + -14x Combine like terms: 3x + -14x = -11x -4 + -11x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -4 + -11x = -21 + 0 -4 + -11x = -21 Add '4' to each side of the equation. -4 + 4 + -11x = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -11x = -21 + 4 -11x = -21 + 4 Combine like terms: -21 + 4 = -17 -11x = -17 Divide each side by '-11'. x = 1.545454545 Simplifying x = 1.545454545
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