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Simplifying 2(x + -6) = 13 + -3x Reorder the terms: 2(-6 + x) = 13 + -3x (-6 * 2 + x * 2) = 13 + -3x (-12 + 2x) = 13 + -3x Solving -12 + 2x = 13 + -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. -12 + 2x + 3x = 13 + -3x + 3x Combine like terms: 2x + 3x = 5x -12 + 5x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 5x = 13 + 0 -12 + 5x = 13 Add '12' to each side of the equation. -12 + 12 + 5x = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 13 + 12 5x = 13 + 12 Combine like terms: 13 + 12 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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