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Simplifying 4x + 8(2x + -3) = -3(-5x + -2) Reorder the terms: 4x + 8(-3 + 2x) = -3(-5x + -2) 4x + (-3 * 8 + 2x * 8) = -3(-5x + -2) 4x + (-24 + 16x) = -3(-5x + -2) Reorder the terms: -24 + 4x + 16x = -3(-5x + -2) Combine like terms: 4x + 16x = 20x -24 + 20x = -3(-5x + -2) Reorder the terms: -24 + 20x = -3(-2 + -5x) -24 + 20x = (-2 * -3 + -5x * -3) -24 + 20x = (6 + 15x) Solving -24 + 20x = 6 + 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. -24 + 20x + -15x = 6 + 15x + -15x Combine like terms: 20x + -15x = 5x -24 + 5x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + 5x = 6 + 0 -24 + 5x = 6 Add '24' to each side of the equation. -24 + 24 + 5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 6 + 24 5x = 6 + 24 Combine like terms: 6 + 24 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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