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Simplifying 2x + -5(x + -4) = 1 + -4x Reorder the terms: 2x + -5(-4 + x) = 1 + -4x 2x + (-4 * -5 + x * -5) = 1 + -4x 2x + (20 + -5x) = 1 + -4x Reorder the terms: 20 + 2x + -5x = 1 + -4x Combine like terms: 2x + -5x = -3x 20 + -3x = 1 + -4x Solving 20 + -3x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 20 + -3x + 4x = 1 + -4x + 4x Combine like terms: -3x + 4x = 1x 20 + 1x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + 1x = 1 + 0 20 + 1x = 1 Add '-20' to each side of the equation. 20 + -20 + 1x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 1 + -20 1x = 1 + -20 Combine like terms: 1 + -20 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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