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Simplifying 4x(6 + -3) = 5x + -4(5x + -8) Combine like terms: 6 + -3 = 3 4x(3) = 5x + -4(5x + -8) Reorder the terms for easier multiplication: 4 * 3x = 5x + -4(5x + -8) Multiply 4 * 3 12x = 5x + -4(5x + -8) Reorder the terms: 12x = 5x + -4(-8 + 5x) 12x = 5x + (-8 * -4 + 5x * -4) 12x = 5x + (32 + -20x) Reorder the terms: 12x = 32 + 5x + -20x Combine like terms: 5x + -20x = -15x 12x = 32 + -15x Solving 12x = 32 + -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. 12x + 15x = 32 + -15x + 15x Combine like terms: 12x + 15x = 27x 27x = 32 + -15x + 15x Combine like terms: -15x + 15x = 0 27x = 32 + 0 27x = 32 Divide each side by '27'. x = 1.185185185 Simplifying x = 1.185185185
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