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Simplifying 4(x + -5) = 5(14 + -1x) Reorder the terms: 4(-5 + x) = 5(14 + -1x) (-5 * 4 + x * 4) = 5(14 + -1x) (-20 + 4x) = 5(14 + -1x) -20 + 4x = (14 * 5 + -1x * 5) -20 + 4x = (70 + -5x) Solving -20 + 4x = 70 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -20 + 4x + 5x = 70 + -5x + 5x Combine like terms: 4x + 5x = 9x -20 + 9x = 70 + -5x + 5x Combine like terms: -5x + 5x = 0 -20 + 9x = 70 + 0 -20 + 9x = 70 Add '20' to each side of the equation. -20 + 20 + 9x = 70 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 70 + 20 9x = 70 + 20 Combine like terms: 70 + 20 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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