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Simplifying 4(x + -5) + -1x = 6(5 + -1x) Reorder the terms: 4(-5 + x) + -1x = 6(5 + -1x) (-5 * 4 + x * 4) + -1x = 6(5 + -1x) (-20 + 4x) + -1x = 6(5 + -1x) Combine like terms: 4x + -1x = 3x -20 + 3x = 6(5 + -1x) -20 + 3x = (5 * 6 + -1x * 6) -20 + 3x = (30 + -6x) Solving -20 + 3x = 30 + -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 + 3x + 6x = 30 + -6x + 6x Combine like terms: 3x + 6x = 9x -20 + 9x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + 9x = 30 + 0 -20 + 9x = 30 Add '20' to each side of the equation. -20 + 20 + 9x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 30 + 20 9x = 30 + 20 Combine like terms: 30 + 20 = 50 9x = 50 Divide each side by '9'. x = 5.555555556 Simplifying x = 5.555555556
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