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Simplifying 2(3x + -6) + -2 = 2(x + -5) + 8 Reorder the terms: 2(-6 + 3x) + -2 = 2(x + -5) + 8 (-6 * 2 + 3x * 2) + -2 = 2(x + -5) + 8 (-12 + 6x) + -2 = 2(x + -5) + 8 Reorder the terms: -12 + -2 + 6x = 2(x + -5) + 8 Combine like terms: -12 + -2 = -14 -14 + 6x = 2(x + -5) + 8 Reorder the terms: -14 + 6x = 2(-5 + x) + 8 -14 + 6x = (-5 * 2 + x * 2) + 8 -14 + 6x = (-10 + 2x) + 8 Reorder the terms: -14 + 6x = -10 + 8 + 2x Combine like terms: -10 + 8 = -2 -14 + 6x = -2 + 2x Solving -14 + 6x = -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. -14 + 6x + -2x = -2 + 2x + -2x Combine like terms: 6x + -2x = 4x -14 + 4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 4x = -2 + 0 -14 + 4x = -2 Add '14' to each side of the equation. -14 + 14 + 4x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -2 + 14 4x = -2 + 14 Combine like terms: -2 + 14 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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