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Simplifying 2(x + 2) + -4(x + -3) = -4 Reorder the terms: 2(2 + x) + -4(x + -3) = -4 (2 * 2 + x * 2) + -4(x + -3) = -4 (4 + 2x) + -4(x + -3) = -4 Reorder the terms: 4 + 2x + -4(-3 + x) = -4 4 + 2x + (-3 * -4 + x * -4) = -4 4 + 2x + (12 + -4x) = -4 Reorder the terms: 4 + 12 + 2x + -4x = -4 Combine like terms: 4 + 12 = 16 16 + 2x + -4x = -4 Combine like terms: 2x + -4x = -2x 16 + -2x = -4 Solving 16 + -2x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2x = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = -4 + -16 -2x = -4 + -16 Combine like terms: -4 + -16 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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