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Simplifying 2(x + -5) = -1(4x + 1) Reorder the terms: 2(-5 + x) = -1(4x + 1) (-5 * 2 + x * 2) = -1(4x + 1) (-10 + 2x) = -1(4x + 1) Reorder the terms: -10 + 2x = -1(1 + 4x) -10 + 2x = (1 * -1 + 4x * -1) -10 + 2x = (-1 + -4x) Solving -10 + 2x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 2x + 4x = -1 + -4x + 4x Combine like terms: 2x + 4x = 6x -10 + 6x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 6x = -1 + 0 -10 + 6x = -1 Add '10' to each side of the equation. -10 + 10 + 6x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -1 + 10 6x = -1 + 10 Combine like terms: -1 + 10 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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