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Simplifying 5(2x + -1) = 4(x + 1) Reorder the terms: 5(-1 + 2x) = 4(x + 1) (-1 * 5 + 2x * 5) = 4(x + 1) (-5 + 10x) = 4(x + 1) Reorder the terms: -5 + 10x = 4(1 + x) -5 + 10x = (1 * 4 + x * 4) -5 + 10x = (4 + 4x) Solving -5 + 10x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 10x + -4x = 4 + 4x + -4x Combine like terms: 10x + -4x = 6x -5 + 6x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 6x = 4 + 0 -5 + 6x = 4 Add '5' to each side of the equation. -5 + 5 + 6x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 4 + 5 6x = 4 + 5 Combine like terms: 4 + 5 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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