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Simplifying 2(5x + -1) = 3(4x + -2) Reorder the terms: 2(-1 + 5x) = 3(4x + -2) (-1 * 2 + 5x * 2) = 3(4x + -2) (-2 + 10x) = 3(4x + -2) Reorder the terms: -2 + 10x = 3(-2 + 4x) -2 + 10x = (-2 * 3 + 4x * 3) -2 + 10x = (-6 + 12x) Solving -2 + 10x = -6 + 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. -2 + 10x + -12x = -6 + 12x + -12x Combine like terms: 10x + -12x = -2x -2 + -2x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -2x = -6 + 0 -2 + -2x = -6 Add '2' to each side of the equation. -2 + 2 + -2x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -6 + 2 -2x = -6 + 2 Combine like terms: -6 + 2 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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