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Simplifying 8(5X + -2) + 12 = 7(X + 7) Reorder the terms: 8(-2 + 5X) + 12 = 7(X + 7) (-2 * 8 + 5X * 8) + 12 = 7(X + 7) (-16 + 40X) + 12 = 7(X + 7) Reorder the terms: -16 + 12 + 40X = 7(X + 7) Combine like terms: -16 + 12 = -4 -4 + 40X = 7(X + 7) Reorder the terms: -4 + 40X = 7(7 + X) -4 + 40X = (7 * 7 + X * 7) -4 + 40X = (49 + 7X) Solving -4 + 40X = 49 + 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. -4 + 40X + -7X = 49 + 7X + -7X Combine like terms: 40X + -7X = 33X -4 + 33X = 49 + 7X + -7X Combine like terms: 7X + -7X = 0 -4 + 33X = 49 + 0 -4 + 33X = 49 Add '4' to each side of the equation. -4 + 4 + 33X = 49 + 4 Combine like terms: -4 + 4 = 0 0 + 33X = 49 + 4 33X = 49 + 4 Combine like terms: 49 + 4 = 53 33X = 53 Divide each side by '33'. X = 1.606060606 Simplifying X = 1.606060606
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