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Simplifying x + -5(x + -6) = 2(x + -1) Reorder the terms: x + -5(-6 + x) = 2(x + -1) x + (-6 * -5 + x * -5) = 2(x + -1) x + (30 + -5x) = 2(x + -1) Reorder the terms: 30 + x + -5x = 2(x + -1) Combine like terms: x + -5x = -4x 30 + -4x = 2(x + -1) Reorder the terms: 30 + -4x = 2(-1 + x) 30 + -4x = (-1 * 2 + x * 2) 30 + -4x = (-2 + 2x) Solving 30 + -4x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + -4x + -2x = -2 + 2x + -2x Combine like terms: -4x + -2x = -6x 30 + -6x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -6x = -2 + 0 30 + -6x = -2 Add '-30' to each side of the equation. 30 + -30 + -6x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -2 + -30 -6x = -2 + -30 Combine like terms: -2 + -30 = -32 -6x = -32 Divide each side by '-6'. x = 5.333333333 Simplifying x = 5.333333333
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