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Simplifying 3x + 4 = (2x + -3) * 7 Reorder the terms: 4 + 3x = (2x + -3) * 7 Reorder the terms: 4 + 3x = (-3 + 2x) * 7 Reorder the terms for easier multiplication: 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 = -25 -11x = -25 Divide each side by '-11'. x = 2.272727273 Simplifying x = 2.272727273
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