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Simplifying 5(3x + 7) = 4(2x + 3) Reorder the terms: 5(7 + 3x) = 4(2x + 3) (7 * 5 + 3x * 5) = 4(2x + 3) (35 + 15x) = 4(2x + 3) Reorder the terms: 35 + 15x = 4(3 + 2x) 35 + 15x = (3 * 4 + 2x * 4) 35 + 15x = (12 + 8x) Solving 35 + 15x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 15x + -8x = 12 + 8x + -8x Combine like terms: 15x + -8x = 7x 35 + 7x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 7x = 12 + 0 35 + 7x = 12 Add '-35' to each side of the equation. 35 + -35 + 7x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 12 + -35 7x = 12 + -35 Combine like terms: 12 + -35 = -23 7x = -23 Divide each side by '7'. x = -3.285714286 Simplifying x = -3.285714286
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