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