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Simplifying 5(2x + -1) = 3(4x + 3) Reorder the terms: 5(-1 + 2x) = 3(4x + 3) (-1 * 5 + 2x * 5) = 3(4x + 3) (-5 + 10x) = 3(4x + 3) Reorder the terms: -5 + 10x = 3(3 + 4x) -5 + 10x = (3 * 3 + 4x * 3) -5 + 10x = (9 + 12x) Solving -5 + 10x = 9 + 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 = 9 + 12x + -12x Combine like terms: 10x + -12x = -2x -5 + -2x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -2x = 9 + 0 -5 + -2x = 9 Add '5' to each side of the equation. -5 + 5 + -2x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 9 + 5 -2x = 9 + 5 Combine like terms: 9 + 5 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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