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Simplifying 4(5x + -5) = 2x + -38 Reorder the terms: 4(-5 + 5x) = 2x + -38 (-5 * 4 + 5x * 4) = 2x + -38 (-20 + 20x) = 2x + -38 Reorder the terms: -20 + 20x = -38 + 2x Solving -20 + 20x = -38 + 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 + 20x + -2x = -38 + 2x + -2x Combine like terms: 20x + -2x = 18x -20 + 18x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 18x = -38 + 0 -20 + 18x = -38 Add '20' to each side of the equation. -20 + 20 + 18x = -38 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = -38 + 20 18x = -38 + 20 Combine like terms: -38 + 20 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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