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Simplifying 3x + 2(x + -5) = x + 6 Reorder the terms: 3x + 2(-5 + x) = x + 6 3x + (-5 * 2 + x * 2) = x + 6 3x + (-10 + 2x) = x + 6 Reorder the terms: -10 + 3x + 2x = x + 6 Combine like terms: 3x + 2x = 5x -10 + 5x = x + 6 Reorder the terms: -10 + 5x = 6 + x Solving -10 + 5x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 5x + -1x = 6 + x + -1x Combine like terms: 5x + -1x = 4x -10 + 4x = 6 + x + -1x Combine like terms: x + -1x = 0 -10 + 4x = 6 + 0 -10 + 4x = 6 Add '10' to each side of the equation. -10 + 10 + 4x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 6 + 10 4x = 6 + 10 Combine like terms: 6 + 10 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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