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Simplifying 2(1 + 4x) + -1x = 5(x + -6) (1 * 2 + 4x * 2) + -1x = 5(x + -6) (2 + 8x) + -1x = 5(x + -6) Combine like terms: 8x + -1x = 7x 2 + 7x = 5(x + -6) Reorder the terms: 2 + 7x = 5(-6 + x) 2 + 7x = (-6 * 5 + x * 5) 2 + 7x = (-30 + 5x) Solving 2 + 7x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 7x + -5x = -30 + 5x + -5x Combine like terms: 7x + -5x = 2x 2 + 2x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 2x = -30 + 0 2 + 2x = -30 Add '-2' to each side of the equation. 2 + -2 + 2x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -30 + -2 2x = -30 + -2 Combine like terms: -30 + -2 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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