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Simplifying 3x + -5(x + -4) = -8 + 3x + -2 Reorder the terms: 3x + -5(-4 + x) = -8 + 3x + -2 3x + (-4 * -5 + x * -5) = -8 + 3x + -2 3x + (20 + -5x) = -8 + 3x + -2 Reorder the terms: 20 + 3x + -5x = -8 + 3x + -2 Combine like terms: 3x + -5x = -2x 20 + -2x = -8 + 3x + -2 Reorder the terms: 20 + -2x = -8 + -2 + 3x Combine like terms: -8 + -2 = -10 20 + -2x = -10 + 3x Solving 20 + -2x = -10 + 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. 20 + -2x + -3x = -10 + 3x + -3x Combine like terms: -2x + -3x = -5x 20 + -5x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -5x = -10 + 0 20 + -5x = -10 Add '-20' to each side of the equation. 20 + -20 + -5x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -10 + -20 -5x = -10 + -20 Combine like terms: -10 + -20 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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