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Simplifying 3x + 2 = x + -4(5x + -1) Reorder the terms: 2 + 3x = x + -4(5x + -1) Reorder the terms: 2 + 3x = x + -4(-1 + 5x) 2 + 3x = x + (-1 * -4 + 5x * -4) 2 + 3x = x + (4 + -20x) Reorder the terms: 2 + 3x = 4 + x + -20x Combine like terms: x + -20x = -19x 2 + 3x = 4 + -19x Solving 2 + 3x = 4 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 2 + 3x + 19x = 4 + -19x + 19x Combine like terms: 3x + 19x = 22x 2 + 22x = 4 + -19x + 19x Combine like terms: -19x + 19x = 0 2 + 22x = 4 + 0 2 + 22x = 4 Add '-2' to each side of the equation. 2 + -2 + 22x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 22x = 4 + -2 22x = 4 + -2 Combine like terms: 4 + -2 = 2 22x = 2 Divide each side by '22'. x = 0.09090909091 Simplifying x = 0.09090909091
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