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Simplifying 6(x + -24) = 7(x + 24) Reorder the terms: 6(-24 + x) = 7(x + 24) (-24 * 6 + x * 6) = 7(x + 24) (-144 + 6x) = 7(x + 24) Reorder the terms: -144 + 6x = 7(24 + x) -144 + 6x = (24 * 7 + x * 7) -144 + 6x = (168 + 7x) Solving -144 + 6x = 168 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -144 + 6x + -7x = 168 + 7x + -7x Combine like terms: 6x + -7x = -1x -144 + -1x = 168 + 7x + -7x Combine like terms: 7x + -7x = 0 -144 + -1x = 168 + 0 -144 + -1x = 168 Add '144' to each side of the equation. -144 + 144 + -1x = 168 + 144 Combine like terms: -144 + 144 = 0 0 + -1x = 168 + 144 -1x = 168 + 144 Combine like terms: 168 + 144 = 312 -1x = 312 Divide each side by '-1'. x = -312 Simplifying x = -312
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