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Simplifying 6(x + -24) = 1(x + 26) Reorder the terms: 6(-24 + x) = 1(x + 26) (-24 * 6 + x * 6) = 1(x + 26) (-144 + 6x) = 1(x + 26) Reorder the terms: -144 + 6x = 1(26 + x) -144 + 6x = (26 * 1 + x * 1) -144 + 6x = (26 + 1x) Solving -144 + 6x = 26 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -144 + 6x + -1x = 26 + 1x + -1x Combine like terms: 6x + -1x = 5x -144 + 5x = 26 + 1x + -1x Combine like terms: 1x + -1x = 0 -144 + 5x = 26 + 0 -144 + 5x = 26 Add '144' to each side of the equation. -144 + 144 + 5x = 26 + 144 Combine like terms: -144 + 144 = 0 0 + 5x = 26 + 144 5x = 26 + 144 Combine like terms: 26 + 144 = 170 5x = 170 Divide each side by '5'. x = 34 Simplifying x = 34
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