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Simplifying 3x + 7 + 5(x + -6) = 0 Reorder the terms: 3x + 7 + 5(-6 + x) = 0 3x + 7 + (-6 * 5 + x * 5) = 0 3x + 7 + (-30 + 5x) = 0 Reorder the terms: 7 + -30 + 3x + 5x = 0 Combine like terms: 7 + -30 = -23 -23 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x -23 + 8x = 0 Solving -23 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 8x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 0 + 23 8x = 0 + 23 Combine like terms: 0 + 23 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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