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Simplifying 4(x + -5) = 2(x + 3) + 4 Reorder the terms: 4(-5 + x) = 2(x + 3) + 4 (-5 * 4 + x * 4) = 2(x + 3) + 4 (-20 + 4x) = 2(x + 3) + 4 Reorder the terms: -20 + 4x = 2(3 + x) + 4 -20 + 4x = (3 * 2 + x * 2) + 4 -20 + 4x = (6 + 2x) + 4 Reorder the terms: -20 + 4x = 6 + 4 + 2x Combine like terms: 6 + 4 = 10 -20 + 4x = 10 + 2x Solving -20 + 4x = 10 + 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. -20 + 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x -20 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 2x = 10 + 0 -20 + 2x = 10 Add '20' to each side of the equation. -20 + 20 + 2x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 10 + 20 2x = 10 + 20 Combine like terms: 10 + 20 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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