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Simplifying 4(6x + 3) = 7(5x + 4) Reorder the terms: 4(3 + 6x) = 7(5x + 4) (3 * 4 + 6x * 4) = 7(5x + 4) (12 + 24x) = 7(5x + 4) Reorder the terms: 12 + 24x = 7(4 + 5x) 12 + 24x = (4 * 7 + 5x * 7) 12 + 24x = (28 + 35x) Solving 12 + 24x = 28 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 12 + 24x + -35x = 28 + 35x + -35x Combine like terms: 24x + -35x = -11x 12 + -11x = 28 + 35x + -35x Combine like terms: 35x + -35x = 0 12 + -11x = 28 + 0 12 + -11x = 28 Add '-12' to each side of the equation. 12 + -12 + -11x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 28 + -12 -11x = 28 + -12 Combine like terms: 28 + -12 = 16 -11x = 16 Divide each side by '-11'. x = -1.454545455 Simplifying x = -1.454545455
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