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Simplifying 2(2x + 3) = -5(4x + -5) + -4x Reorder the terms: 2(3 + 2x) = -5(4x + -5) + -4x (3 * 2 + 2x * 2) = -5(4x + -5) + -4x (6 + 4x) = -5(4x + -5) + -4x Reorder the terms: 6 + 4x = -5(-5 + 4x) + -4x 6 + 4x = (-5 * -5 + 4x * -5) + -4x 6 + 4x = (25 + -20x) + -4x Combine like terms: -20x + -4x = -24x 6 + 4x = 25 + -24x Solving 6 + 4x = 25 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 6 + 4x + 24x = 25 + -24x + 24x Combine like terms: 4x + 24x = 28x 6 + 28x = 25 + -24x + 24x Combine like terms: -24x + 24x = 0 6 + 28x = 25 + 0 6 + 28x = 25 Add '-6' to each side of the equation. 6 + -6 + 28x = 25 + -6 Combine like terms: 6 + -6 = 0 0 + 28x = 25 + -6 28x = 25 + -6 Combine like terms: 25 + -6 = 19 28x = 19 Divide each side by '28'. x = 0.6785714286 Simplifying x = 0.6785714286
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