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Simplifying 9x + -3 + 6x + -7x = 3x + 15 + -42 Reorder the terms: -3 + 9x + 6x + -7x = 3x + 15 + -42 Combine like terms: 9x + 6x = 15x -3 + 15x + -7x = 3x + 15 + -42 Combine like terms: 15x + -7x = 8x -3 + 8x = 3x + 15 + -42 Reorder the terms: -3 + 8x = 15 + -42 + 3x Combine like terms: 15 + -42 = -27 -3 + 8x = -27 + 3x Solving -3 + 8x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 8x + -3x = -27 + 3x + -3x Combine like terms: 8x + -3x = 5x -3 + 5x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 5x = -27 + 0 -3 + 5x = -27 Add '3' to each side of the equation. -3 + 3 + 5x = -27 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -27 + 3 5x = -27 + 3 Combine like terms: -27 + 3 = -24 5x = -24 Divide each side by '5'. x = -4.8 Simplifying x = -4.8
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