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Simplifying 3 + 8(x + -7) = 7 + -8(x + -5) Reorder the terms: 3 + 8(-7 + x) = 7 + -8(x + -5) 3 + (-7 * 8 + x * 8) = 7 + -8(x + -5) 3 + (-56 + 8x) = 7 + -8(x + -5) Combine like terms: 3 + -56 = -53 -53 + 8x = 7 + -8(x + -5) Reorder the terms: -53 + 8x = 7 + -8(-5 + x) -53 + 8x = 7 + (-5 * -8 + x * -8) -53 + 8x = 7 + (40 + -8x) Combine like terms: 7 + 40 = 47 -53 + 8x = 47 + -8x Solving -53 + 8x = 47 + -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. -53 + 8x + 8x = 47 + -8x + 8x Combine like terms: 8x + 8x = 16x -53 + 16x = 47 + -8x + 8x Combine like terms: -8x + 8x = 0 -53 + 16x = 47 + 0 -53 + 16x = 47 Add '53' to each side of the equation. -53 + 53 + 16x = 47 + 53 Combine like terms: -53 + 53 = 0 0 + 16x = 47 + 53 16x = 47 + 53 Combine like terms: 47 + 53 = 100 16x = 100 Divide each side by '16'. x = 6.25 Simplifying x = 6.25
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