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Simplifying 3x + 2(x + -5) = 7x + -12 Reorder the terms: 3x + 2(-5 + x) = 7x + -12 3x + (-5 * 2 + x * 2) = 7x + -12 3x + (-10 + 2x) = 7x + -12 Reorder the terms: -10 + 3x + 2x = 7x + -12 Combine like terms: 3x + 2x = 5x -10 + 5x = 7x + -12 Reorder the terms: -10 + 5x = -12 + 7x Solving -10 + 5x = -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. -10 + 5x + -7x = -12 + 7x + -7x Combine like terms: 5x + -7x = -2x -10 + -2x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -2x = -12 + 0 -10 + -2x = -12 Add '10' to each side of the equation. -10 + 10 + -2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -12 + 10 -2x = -12 + 10 Combine like terms: -12 + 10 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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