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Simplifying 3 + -2(x + -4) = 3x + -4 Reorder the terms: 3 + -2(-4 + x) = 3x + -4 3 + (-4 * -2 + x * -2) = 3x + -4 3 + (8 + -2x) = 3x + -4 Combine like terms: 3 + 8 = 11 11 + -2x = 3x + -4 Reorder the terms: 11 + -2x = -4 + 3x Solving 11 + -2x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + -2x + -3x = -4 + 3x + -3x Combine like terms: -2x + -3x = -5x 11 + -5x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -5x = -4 + 0 11 + -5x = -4 Add '-11' to each side of the equation. 11 + -11 + -5x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = -4 + -11 -5x = -4 + -11 Combine like terms: -4 + -11 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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