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Simplifying 4x + -1(-6 + 3x) = 5 + -5(-4x + -4) 4x + (-6 * -1 + 3x * -1) = 5 + -5(-4x + -4) 4x + (6 + -3x) = 5 + -5(-4x + -4) Reorder the terms: 6 + 4x + -3x = 5 + -5(-4x + -4) Combine like terms: 4x + -3x = 1x 6 + 1x = 5 + -5(-4x + -4) Reorder the terms: 6 + 1x = 5 + -5(-4 + -4x) 6 + 1x = 5 + (-4 * -5 + -4x * -5) 6 + 1x = 5 + (20 + 20x) Combine like terms: 5 + 20 = 25 6 + 1x = 25 + 20x Solving 6 + 1x = 25 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 1x + -20x = 25 + 20x + -20x Combine like terms: 1x + -20x = -19x 6 + -19x = 25 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -19x = 25 + 0 6 + -19x = 25 Add '-6' to each side of the equation. 6 + -6 + -19x = 25 + -6 Combine like terms: 6 + -6 = 0 0 + -19x = 25 + -6 -19x = 25 + -6 Combine like terms: 25 + -6 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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