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