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Simplifying 1 + -1(-1x + 5) = 3(-2x + 1) Reorder the terms: 1 + -1(5 + -1x) = 3(-2x + 1) 1 + (5 * -1 + -1x * -1) = 3(-2x + 1) 1 + (-5 + 1x) = 3(-2x + 1) Combine like terms: 1 + -5 = -4 -4 + 1x = 3(-2x + 1) Reorder the terms: -4 + 1x = 3(1 + -2x) -4 + 1x = (1 * 3 + -2x * 3) -4 + 1x = (3 + -6x) Solving -4 + 1x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 1x + 6x = 3 + -6x + 6x Combine like terms: 1x + 6x = 7x -4 + 7x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 7x = 3 + 0 -4 + 7x = 3 Add '4' to each side of the equation. -4 + 4 + 7x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 3 + 4 7x = 3 + 4 Combine like terms: 3 + 4 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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