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Simplifying 6(x + -5) + 2 = 3x + 2 Reorder the terms: 6(-5 + x) + 2 = 3x + 2 (-5 * 6 + x * 6) + 2 = 3x + 2 (-30 + 6x) + 2 = 3x + 2 Reorder the terms: -30 + 2 + 6x = 3x + 2 Combine like terms: -30 + 2 = -28 -28 + 6x = 3x + 2 Reorder the terms: -28 + 6x = 2 + 3x Solving -28 + 6x = 2 + 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. -28 + 6x + -3x = 2 + 3x + -3x Combine like terms: 6x + -3x = 3x -28 + 3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 3x = 2 + 0 -28 + 3x = 2 Add '28' to each side of the equation. -28 + 28 + 3x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = 2 + 28 3x = 2 + 28 Combine like terms: 2 + 28 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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