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Simplifying 4 + -1(2x + 5) = -2(4x + 5) Reorder the terms: 4 + -1(5 + 2x) = -2(4x + 5) 4 + (5 * -1 + 2x * -1) = -2(4x + 5) 4 + (-5 + -2x) = -2(4x + 5) Combine like terms: 4 + -5 = -1 -1 + -2x = -2(4x + 5) Reorder the terms: -1 + -2x = -2(5 + 4x) -1 + -2x = (5 * -2 + 4x * -2) -1 + -2x = (-10 + -8x) Solving -1 + -2x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + -2x + 8x = -10 + -8x + 8x Combine like terms: -2x + 8x = 6x -1 + 6x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 6x = -10 + 0 -1 + 6x = -10 Add '1' to each side of the equation. -1 + 1 + 6x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = -10 + 1 6x = -10 + 1 Combine like terms: -10 + 1 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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