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Simplifying 3x + 2(x + -6) + 3 = -2x + 2 Reorder the terms: 3x + 2(-6 + x) + 3 = -2x + 2 3x + (-6 * 2 + x * 2) + 3 = -2x + 2 3x + (-12 + 2x) + 3 = -2x + 2 Reorder the terms: -12 + 3 + 3x + 2x = -2x + 2 Combine like terms: -12 + 3 = -9 -9 + 3x + 2x = -2x + 2 Combine like terms: 3x + 2x = 5x -9 + 5x = -2x + 2 Reorder the terms: -9 + 5x = 2 + -2x Solving -9 + 5x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 5x + 2x = 2 + -2x + 2x Combine like terms: 5x + 2x = 7x -9 + 7x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 7x = 2 + 0 -9 + 7x = 2 Add '9' to each side of the equation. -9 + 9 + 7x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 2 + 9 7x = 2 + 9 Combine like terms: 2 + 9 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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