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Simplifying 8(3x + -7) = 8x + 5 Reorder the terms: 8(-7 + 3x) = 8x + 5 (-7 * 8 + 3x * 8) = 8x + 5 (-56 + 24x) = 8x + 5 Reorder the terms: -56 + 24x = 5 + 8x Solving -56 + 24x = 5 + 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. -56 + 24x + -8x = 5 + 8x + -8x Combine like terms: 24x + -8x = 16x -56 + 16x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -56 + 16x = 5 + 0 -56 + 16x = 5 Add '56' to each side of the equation. -56 + 56 + 16x = 5 + 56 Combine like terms: -56 + 56 = 0 0 + 16x = 5 + 56 16x = 5 + 56 Combine like terms: 5 + 56 = 61 16x = 61 Divide each side by '16'. x = 3.8125 Simplifying x = 3.8125
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