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Simplifying 6(x + 4) + -1(x + -1) = 6(x + 10) Reorder the terms: 6(4 + x) + -1(x + -1) = 6(x + 10) (4 * 6 + x * 6) + -1(x + -1) = 6(x + 10) (24 + 6x) + -1(x + -1) = 6(x + 10) Reorder the terms: 24 + 6x + -1(-1 + x) = 6(x + 10) 24 + 6x + (-1 * -1 + x * -1) = 6(x + 10) 24 + 6x + (1 + -1x) = 6(x + 10) Reorder the terms: 24 + 1 + 6x + -1x = 6(x + 10) Combine like terms: 24 + 1 = 25 25 + 6x + -1x = 6(x + 10) Combine like terms: 6x + -1x = 5x 25 + 5x = 6(x + 10) Reorder the terms: 25 + 5x = 6(10 + x) 25 + 5x = (10 * 6 + x * 6) 25 + 5x = (60 + 6x) Solving 25 + 5x = 60 + 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. 25 + 5x + -6x = 60 + 6x + -6x Combine like terms: 5x + -6x = -1x 25 + -1x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -1x = 60 + 0 25 + -1x = 60 Add '-25' to each side of the equation. 25 + -25 + -1x = 60 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 60 + -25 -1x = 60 + -25 Combine like terms: 60 + -25 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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