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Simplifying -2(4 + 5x) + 4 = 3 + -1(2 + 5x) (4 * -2 + 5x * -2) + 4 = 3 + -1(2 + 5x) (-8 + -10x) + 4 = 3 + -1(2 + 5x) Reorder the terms: -8 + 4 + -10x = 3 + -1(2 + 5x) Combine like terms: -8 + 4 = -4 -4 + -10x = 3 + -1(2 + 5x) -4 + -10x = 3 + (2 * -1 + 5x * -1) -4 + -10x = 3 + (-2 + -5x) Combine like terms: 3 + -2 = 1 -4 + -10x = 1 + -5x Solving -4 + -10x = 1 + -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. -4 + -10x + 5x = 1 + -5x + 5x Combine like terms: -10x + 5x = -5x -4 + -5x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + -5x = 1 + 0 -4 + -5x = 1 Add '4' to each side of the equation. -4 + 4 + -5x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 1 + 4 -5x = 1 + 4 Combine like terms: 1 + 4 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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