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Simplifying 7(5x + -8) = 12(3x + 5) Reorder the terms: 7(-8 + 5x) = 12(3x + 5) (-8 * 7 + 5x * 7) = 12(3x + 5) (-56 + 35x) = 12(3x + 5) Reorder the terms: -56 + 35x = 12(5 + 3x) -56 + 35x = (5 * 12 + 3x * 12) -56 + 35x = (60 + 36x) Solving -56 + 35x = 60 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -56 + 35x + -36x = 60 + 36x + -36x Combine like terms: 35x + -36x = -1x -56 + -1x = 60 + 36x + -36x Combine like terms: 36x + -36x = 0 -56 + -1x = 60 + 0 -56 + -1x = 60 Add '56' to each side of the equation. -56 + 56 + -1x = 60 + 56 Combine like terms: -56 + 56 = 0 0 + -1x = 60 + 56 -1x = 60 + 56 Combine like terms: 60 + 56 = 116 -1x = 116 Divide each side by '-1'. x = -116 Simplifying x = -116
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