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Simplifying 4(5x + 3) = (7x + 6) Reorder the terms: 4(3 + 5x) = (7x + 6) (3 * 4 + 5x * 4) = (7x + 6) (12 + 20x) = (7x + 6) Reorder the terms: 12 + 20x = (6 + 7x) Remove parenthesis around (6 + 7x) 12 + 20x = 6 + 7x Solving 12 + 20x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 20x + -7x = 6 + 7x + -7x Combine like terms: 20x + -7x = 13x 12 + 13x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 13x = 6 + 0 12 + 13x = 6 Add '-12' to each side of the equation. 12 + -12 + 13x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 6 + -12 13x = 6 + -12 Combine like terms: 6 + -12 = -6 13x = -6 Divide each side by '13'. x = -0.4615384615 Simplifying x = -0.4615384615
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