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Simplifying 7(3 + 5x) = 4(4x + 3) (3 * 7 + 5x * 7) = 4(4x + 3) (21 + 35x) = 4(4x + 3) Reorder the terms: 21 + 35x = 4(3 + 4x) 21 + 35x = (3 * 4 + 4x * 4) 21 + 35x = (12 + 16x) Solving 21 + 35x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 21 + 35x + -16x = 12 + 16x + -16x Combine like terms: 35x + -16x = 19x 21 + 19x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 21 + 19x = 12 + 0 21 + 19x = 12 Add '-21' to each side of the equation. 21 + -21 + 19x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 19x = 12 + -21 19x = 12 + -21 Combine like terms: 12 + -21 = -9 19x = -9 Divide each side by '19'. x = -0.4736842105 Simplifying x = -0.4736842105
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