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Simplifying 2x + -1(5x + 2) = 7x + -12 Reorder the terms: 2x + -1(2 + 5x) = 7x + -12 2x + (2 * -1 + 5x * -1) = 7x + -12 2x + (-2 + -5x) = 7x + -12 Reorder the terms: -2 + 2x + -5x = 7x + -12 Combine like terms: 2x + -5x = -3x -2 + -3x = 7x + -12 Reorder the terms: -2 + -3x = -12 + 7x Solving -2 + -3x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -3x + -7x = -12 + 7x + -7x Combine like terms: -3x + -7x = -10x -2 + -10x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -10x = -12 + 0 -2 + -10x = -12 Add '2' to each side of the equation. -2 + 2 + -10x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -12 + 2 -10x = -12 + 2 Combine like terms: -12 + 2 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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