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Simplifying 5x + -12 = 2(2x + -5) Reorder the terms: -12 + 5x = 2(2x + -5) Reorder the terms: -12 + 5x = 2(-5 + 2x) -12 + 5x = (-5 * 2 + 2x * 2) -12 + 5x = (-10 + 4x) Solving -12 + 5x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 5x + -4x = -10 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = -10 + 0 -12 + 1x = -10 Add '12' to each side of the equation. -12 + 12 + 1x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -10 + 12 1x = -10 + 12 Combine like terms: -10 + 12 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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