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Simplifying 5x + -12 = -2x + 5(x + -2) Reorder the terms: -12 + 5x = -2x + 5(x + -2) Reorder the terms: -12 + 5x = -2x + 5(-2 + x) -12 + 5x = -2x + (-2 * 5 + x * 5) -12 + 5x = -2x + (-10 + 5x) Reorder the terms: -12 + 5x = -10 + -2x + 5x Combine like terms: -2x + 5x = 3x -12 + 5x = -10 + 3x Solving -12 + 5x = -10 + 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 + 5x + -3x = -10 + 3x + -3x Combine like terms: 5x + -3x = 2x -12 + 2x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 2x = -10 + 0 -12 + 2x = -10 Add '12' to each side of the equation. -12 + 12 + 2x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -10 + 12 2x = -10 + 12 Combine like terms: -10 + 12 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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