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Simplifying -6(x + -5) = (x + 1) Reorder the terms: -6(-5 + x) = (x + 1) (-5 * -6 + x * -6) = (x + 1) (30 + -6x) = (x + 1) Reorder the terms: 30 + -6x = (1 + x) Remove parenthesis around (1 + x) 30 + -6x = 1 + x Solving 30 + -6x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + -6x + -1x = 1 + x + -1x Combine like terms: -6x + -1x = -7x 30 + -7x = 1 + x + -1x Combine like terms: x + -1x = 0 30 + -7x = 1 + 0 30 + -7x = 1 Add '-30' to each side of the equation. 30 + -30 + -7x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 1 + -30 -7x = 1 + -30 Combine like terms: 1 + -30 = -29 -7x = -29 Divide each side by '-7'. x = 4.142857143 Simplifying x = 4.142857143
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