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Simplifying 2 + -4(x + -2) = 7x + -12 Reorder the terms: 2 + -4(-2 + x) = 7x + -12 2 + (-2 * -4 + x * -4) = 7x + -12 2 + (8 + -4x) = 7x + -12 Combine like terms: 2 + 8 = 10 10 + -4x = 7x + -12 Reorder the terms: 10 + -4x = -12 + 7x Solving 10 + -4x = -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 + -4x + -7x = -12 + 7x + -7x Combine like terms: -4x + -7x = -11x 10 + -11x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -11x = -12 + 0 10 + -11x = -12 Add '-10' to each side of the equation. 10 + -10 + -11x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -12 + -10 -11x = -12 + -10 Combine like terms: -12 + -10 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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