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Simplifying 4x + -5(3 + -2x) = 8x + 9 4x + (3 * -5 + -2x * -5) = 8x + 9 4x + (-15 + 10x) = 8x + 9 Reorder the terms: -15 + 4x + 10x = 8x + 9 Combine like terms: 4x + 10x = 14x -15 + 14x = 8x + 9 Reorder the terms: -15 + 14x = 9 + 8x Solving -15 + 14x = 9 + 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. -15 + 14x + -8x = 9 + 8x + -8x Combine like terms: 14x + -8x = 6x -15 + 6x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 6x = 9 + 0 -15 + 6x = 9 Add '15' to each side of the equation. -15 + 15 + 6x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 9 + 15 6x = 9 + 15 Combine like terms: 9 + 15 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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