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Simplifying 4 + 5(4x + -2) = (2x + 3) Reorder the terms: 4 + 5(-2 + 4x) = (2x + 3) 4 + (-2 * 5 + 4x * 5) = (2x + 3) 4 + (-10 + 20x) = (2x + 3) Combine like terms: 4 + -10 = -6 -6 + 20x = (2x + 3) Reorder the terms: -6 + 20x = (3 + 2x) Remove parenthesis around (3 + 2x) -6 + 20x = 3 + 2x Solving -6 + 20x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 20x + -2x = 3 + 2x + -2x Combine like terms: 20x + -2x = 18x -6 + 18x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 18x = 3 + 0 -6 + 18x = 3 Add '6' to each side of the equation. -6 + 6 + 18x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 3 + 6 18x = 3 + 6 Combine like terms: 3 + 6 = 9 18x = 9 Divide each side by '18'. x = 0.5 Simplifying x = 0.5
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