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Simplifying 4(3 + -5x) = 7(2x + 1) (3 * 4 + -5x * 4) = 7(2x + 1) (12 + -20x) = 7(2x + 1) Reorder the terms: 12 + -20x = 7(1 + 2x) 12 + -20x = (1 * 7 + 2x * 7) 12 + -20x = (7 + 14x) Solving 12 + -20x = 7 + 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 + -20x + -14x = 7 + 14x + -14x Combine like terms: -20x + -14x = -34x 12 + -34x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -34x = 7 + 0 12 + -34x = 7 Add '-12' to each side of the equation. 12 + -12 + -34x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -34x = 7 + -12 -34x = 7 + -12 Combine like terms: 7 + -12 = -5 -34x = -5 Divide each side by '-34'. x = 0.1470588235 Simplifying x = 0.1470588235
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