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Simplifying 5(x + -2) + 2(10x + -4) + 2 = -8 Reorder the terms: 5(-2 + x) + 2(10x + -4) + 2 = -8 (-2 * 5 + x * 5) + 2(10x + -4) + 2 = -8 (-10 + 5x) + 2(10x + -4) + 2 = -8 Reorder the terms: -10 + 5x + 2(-4 + 10x) + 2 = -8 -10 + 5x + (-4 * 2 + 10x * 2) + 2 = -8 -10 + 5x + (-8 + 20x) + 2 = -8 Reorder the terms: -10 + -8 + 2 + 5x + 20x = -8 Combine like terms: -10 + -8 = -18 -18 + 2 + 5x + 20x = -8 Combine like terms: -18 + 2 = -16 -16 + 5x + 20x = -8 Combine like terms: 5x + 20x = 25x -16 + 25x = -8 Solving -16 + 25x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 25x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 25x = -8 + 16 25x = -8 + 16 Combine like terms: -8 + 16 = 8 25x = 8 Divide each side by '25'. x = 0.32 Simplifying x = 0.32
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