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Simplifying 2(4x + -1) = 3(5x + -2) Reorder the terms: 2(-1 + 4x) = 3(5x + -2) (-1 * 2 + 4x * 2) = 3(5x + -2) (-2 + 8x) = 3(5x + -2) Reorder the terms: -2 + 8x = 3(-2 + 5x) -2 + 8x = (-2 * 3 + 5x * 3) -2 + 8x = (-6 + 15x) Solving -2 + 8x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -2 + 8x + -15x = -6 + 15x + -15x Combine like terms: 8x + -15x = -7x -2 + -7x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -2 + -7x = -6 + 0 -2 + -7x = -6 Add '2' to each side of the equation. -2 + 2 + -7x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -6 + 2 -7x = -6 + 2 Combine like terms: -6 + 2 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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