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Simplifying 4x + -15 = 3(3x + 8) + -9 Reorder the terms: -15 + 4x = 3(3x + 8) + -9 Reorder the terms: -15 + 4x = 3(8 + 3x) + -9 -15 + 4x = (8 * 3 + 3x * 3) + -9 -15 + 4x = (24 + 9x) + -9 Reorder the terms: -15 + 4x = 24 + -9 + 9x Combine like terms: 24 + -9 = 15 -15 + 4x = 15 + 9x Solving -15 + 4x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + 4x + -9x = 15 + 9x + -9x Combine like terms: 4x + -9x = -5x -15 + -5x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -5x = 15 + 0 -15 + -5x = 15 Add '15' to each side of the equation. -15 + 15 + -5x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 15 + 15 -5x = 15 + 15 Combine like terms: 15 + 15 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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