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Simplifying 1 = 5x + -4(2x + 1) Reorder the terms: 1 = 5x + -4(1 + 2x) 1 = 5x + (1 * -4 + 2x * -4) 1 = 5x + (-4 + -8x) Reorder the terms: 1 = -4 + 5x + -8x Combine like terms: 5x + -8x = -3x 1 = -4 + -3x Solving 1 = -4 + -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. 1 + 3x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 3x = -4 + 0 1 + 3x = -4 Add '-1' to each side of the equation. 1 + -1 + 3x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -4 + -1 3x = -4 + -1 Combine like terms: -4 + -1 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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