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Simplifying 1 + -1(-1x + 7) = -6(x + -5) Reorder the terms: 1 + -1(7 + -1x) = -6(x + -5) 1 + (7 * -1 + -1x * -1) = -6(x + -5) 1 + (-7 + 1x) = -6(x + -5) Combine like terms: 1 + -7 = -6 -6 + 1x = -6(x + -5) Reorder the terms: -6 + 1x = -6(-5 + x) -6 + 1x = (-5 * -6 + x * -6) -6 + 1x = (30 + -6x) Solving -6 + 1x = 30 + -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. -6 + 1x + 6x = 30 + -6x + 6x Combine like terms: 1x + 6x = 7x -6 + 7x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 7x = 30 + 0 -6 + 7x = 30 Add '6' to each side of the equation. -6 + 6 + 7x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 30 + 6 7x = 30 + 6 Combine like terms: 30 + 6 = 36 7x = 36 Divide each side by '7'. x = 5.142857143 Simplifying x = 5.142857143
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