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Simplifying 7(x + -24) = 8(x + -19) Reorder the terms: 7(-24 + x) = 8(x + -19) (-24 * 7 + x * 7) = 8(x + -19) (-168 + 7x) = 8(x + -19) Reorder the terms: -168 + 7x = 8(-19 + x) -168 + 7x = (-19 * 8 + x * 8) -168 + 7x = (-152 + 8x) Solving -168 + 7x = -152 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -168 + 7x + -8x = -152 + 8x + -8x Combine like terms: 7x + -8x = -1x -168 + -1x = -152 + 8x + -8x Combine like terms: 8x + -8x = 0 -168 + -1x = -152 + 0 -168 + -1x = -152 Add '168' to each side of the equation. -168 + 168 + -1x = -152 + 168 Combine like terms: -168 + 168 = 0 0 + -1x = -152 + 168 -1x = -152 + 168 Combine like terms: -152 + 168 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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