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Simplifying 2(5x + -4) = 2x + 9 Reorder the terms: 2(-4 + 5x) = 2x + 9 (-4 * 2 + 5x * 2) = 2x + 9 (-8 + 10x) = 2x + 9 Reorder the terms: -8 + 10x = 9 + 2x Solving -8 + 10x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 10x + -2x = 9 + 2x + -2x Combine like terms: 10x + -2x = 8x -8 + 8x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 8x = 9 + 0 -8 + 8x = 9 Add '8' to each side of the equation. -8 + 8 + 8x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 9 + 8 8x = 9 + 8 Combine like terms: 9 + 8 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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