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Simplifying 5(2x + -1) = 4(3x + 2) Reorder the terms: 5(-1 + 2x) = 4(3x + 2) (-1 * 5 + 2x * 5) = 4(3x + 2) (-5 + 10x) = 4(3x + 2) Reorder the terms: -5 + 10x = 4(2 + 3x) -5 + 10x = (2 * 4 + 3x * 4) -5 + 10x = (8 + 12x) Solving -5 + 10x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 10x + -12x = 8 + 12x + -12x Combine like terms: 10x + -12x = -2x -5 + -2x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -2x = 8 + 0 -5 + -2x = 8 Add '5' to each side of the equation. -5 + 5 + -2x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 8 + 5 -2x = 8 + 5 Combine like terms: 8 + 5 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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