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Simplifying 3x + 5(x + -2) + -6x + 1 = 0 Reorder the terms: 3x + 5(-2 + x) + -6x + 1 = 0 3x + (-2 * 5 + x * 5) + -6x + 1 = 0 3x + (-10 + 5x) + -6x + 1 = 0 Reorder the terms: -10 + 1 + 3x + 5x + -6x = 0 Combine like terms: -10 + 1 = -9 -9 + 3x + 5x + -6x = 0 Combine like terms: 3x + 5x = 8x -9 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x -9 + 2x = 0 Solving -9 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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