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Simplifying -2(1 + -5x) + 4 = 6(x + -5) (1 * -2 + -5x * -2) + 4 = 6(x + -5) (-2 + 10x) + 4 = 6(x + -5) Reorder the terms: -2 + 4 + 10x = 6(x + -5) Combine like terms: -2 + 4 = 2 2 + 10x = 6(x + -5) Reorder the terms: 2 + 10x = 6(-5 + x) 2 + 10x = (-5 * 6 + x * 6) 2 + 10x = (-30 + 6x) Solving 2 + 10x = -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. 2 + 10x + -6x = -30 + 6x + -6x Combine like terms: 10x + -6x = 4x 2 + 4x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 4x = -30 + 0 2 + 4x = -30 Add '-2' to each side of the equation. 2 + -2 + 4x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -30 + -2 4x = -30 + -2 Combine like terms: -30 + -2 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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