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Simplifying 5(2x + -1) + -9x = 3 + -1x Reorder the terms: 5(-1 + 2x) + -9x = 3 + -1x (-1 * 5 + 2x * 5) + -9x = 3 + -1x (-5 + 10x) + -9x = 3 + -1x Combine like terms: 10x + -9x = 1x -5 + 1x = 3 + -1x Solving -5 + 1x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 1x + x = 3 + -1x + x Combine like terms: 1x + x = 2x -5 + 2x = 3 + -1x + x Combine like terms: -1x + x = 0 -5 + 2x = 3 + 0 -5 + 2x = 3 Add '5' to each side of the equation. -5 + 5 + 2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 3 + 5 2x = 3 + 5 Combine like terms: 3 + 5 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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