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Simplifying 2(x + -5) + -6 = 12 + -2x Reorder the terms: 2(-5 + x) + -6 = 12 + -2x (-5 * 2 + x * 2) + -6 = 12 + -2x (-10 + 2x) + -6 = 12 + -2x Reorder the terms: -10 + -6 + 2x = 12 + -2x Combine like terms: -10 + -6 = -16 -16 + 2x = 12 + -2x Solving -16 + 2x = 12 + -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. -16 + 2x + 2x = 12 + -2x + 2x Combine like terms: 2x + 2x = 4x -16 + 4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 4x = 12 + 0 -16 + 4x = 12 Add '16' to each side of the equation. -16 + 16 + 4x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 12 + 16 4x = 12 + 16 Combine like terms: 12 + 16 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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