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Simplifying 2(4x + 1) = 5(3x + -2) Reorder the terms: 2(1 + 4x) = 5(3x + -2) (1 * 2 + 4x * 2) = 5(3x + -2) (2 + 8x) = 5(3x + -2) Reorder the terms: 2 + 8x = 5(-2 + 3x) 2 + 8x = (-2 * 5 + 3x * 5) 2 + 8x = (-10 + 15x) Solving 2 + 8x = -10 + 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 = -10 + 15x + -15x Combine like terms: 8x + -15x = -7x 2 + -7x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -7x = -10 + 0 2 + -7x = -10 Add '-2' to each side of the equation. 2 + -2 + -7x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -10 + -2 -7x = -10 + -2 Combine like terms: -10 + -2 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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