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Simplifying 4(2x + -5) = (2x) * 2 + 2(x + 2) Reorder the terms: 4(-5 + 2x) = (2x) * 2 + 2(x + 2) (-5 * 4 + 2x * 4) = (2x) * 2 + 2(x + 2) (-20 + 8x) = (2x) * 2 + 2(x + 2) Remove parenthesis around (2x) -20 + 8x = 2x * 2 + 2(x + 2) Reorder the terms for easier multiplication: -20 + 8x = 2 * 2x + 2(x + 2) Multiply 2 * 2 -20 + 8x = 4x + 2(x + 2) Reorder the terms: -20 + 8x = 4x + 2(2 + x) -20 + 8x = 4x + (2 * 2 + x * 2) -20 + 8x = 4x + (4 + 2x) Reorder the terms: -20 + 8x = 4 + 4x + 2x Combine like terms: 4x + 2x = 6x -20 + 8x = 4 + 6x Solving -20 + 8x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 8x + -6x = 4 + 6x + -6x Combine like terms: 8x + -6x = 2x -20 + 2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 2x = 4 + 0 -20 + 2x = 4 Add '20' to each side of the equation. -20 + 20 + 2x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 4 + 20 2x = 4 + 20 Combine like terms: 4 + 20 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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