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Simplifying 2(4x + 3) = 3(5x + -2) Reorder the terms: 2(3 + 4x) = 3(5x + -2) (3 * 2 + 4x * 2) = 3(5x + -2) (6 + 8x) = 3(5x + -2) Reorder the terms: 6 + 8x = 3(-2 + 5x) 6 + 8x = (-2 * 3 + 5x * 3) 6 + 8x = (-6 + 15x) Solving 6 + 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. 6 + 8x + -15x = -6 + 15x + -15x Combine like terms: 8x + -15x = -7x 6 + -7x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -7x = -6 + 0 6 + -7x = -6 Add '-6' to each side of the equation. 6 + -6 + -7x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -6 + -6 -7x = -6 + -6 Combine like terms: -6 + -6 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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