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Simplifying x + -5(2x + -4) = 3x + 8 Reorder the terms: x + -5(-4 + 2x) = 3x + 8 x + (-4 * -5 + 2x * -5) = 3x + 8 x + (20 + -10x) = 3x + 8 Reorder the terms: 20 + x + -10x = 3x + 8 Combine like terms: x + -10x = -9x 20 + -9x = 3x + 8 Reorder the terms: 20 + -9x = 8 + 3x Solving 20 + -9x = 8 + 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 + -9x + -3x = 8 + 3x + -3x Combine like terms: -9x + -3x = -12x 20 + -12x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -12x = 8 + 0 20 + -12x = 8 Add '-20' to each side of the equation. 20 + -20 + -12x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = 8 + -20 -12x = 8 + -20 Combine like terms: 8 + -20 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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