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Simplifying 6(x + -2) + -2 = 3x + -5 Reorder the terms: 6(-2 + x) + -2 = 3x + -5 (-2 * 6 + x * 6) + -2 = 3x + -5 (-12 + 6x) + -2 = 3x + -5 Reorder the terms: -12 + -2 + 6x = 3x + -5 Combine like terms: -12 + -2 = -14 -14 + 6x = 3x + -5 Reorder the terms: -14 + 6x = -5 + 3x Solving -14 + 6x = -5 + 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. -14 + 6x + -3x = -5 + 3x + -3x Combine like terms: 6x + -3x = 3x -14 + 3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 3x = -5 + 0 -14 + 3x = -5 Add '14' to each side of the equation. -14 + 14 + 3x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -5 + 14 3x = -5 + 14 Combine like terms: -5 + 14 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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