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Simplifying 2x + -4(x + -3) = -2 + 12 Reorder the terms: 2x + -4(-3 + x) = -2 + 12 2x + (-3 * -4 + x * -4) = -2 + 12 2x + (12 + -4x) = -2 + 12 Reorder the terms: 12 + 2x + -4x = -2 + 12 Combine like terms: 2x + -4x = -2x 12 + -2x = -2 + 12 Combine like terms: -2 + 12 = 10 12 + -2x = 10 Solving 12 + -2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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