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Simplifying 29(X + -3) + -7 = 18 + -5(X + 4) Reorder the terms: 29(-3 + X) + -7 = 18 + -5(X + 4) (-3 * 29 + X * 29) + -7 = 18 + -5(X + 4) (-87 + 29X) + -7 = 18 + -5(X + 4) Reorder the terms: -87 + -7 + 29X = 18 + -5(X + 4) Combine like terms: -87 + -7 = -94 -94 + 29X = 18 + -5(X + 4) Reorder the terms: -94 + 29X = 18 + -5(4 + X) -94 + 29X = 18 + (4 * -5 + X * -5) -94 + 29X = 18 + (-20 + -5X) Combine like terms: 18 + -20 = -2 -94 + 29X = -2 + -5X Solving -94 + 29X = -2 + -5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5X' to each side of the equation. -94 + 29X + 5X = -2 + -5X + 5X Combine like terms: 29X + 5X = 34X -94 + 34X = -2 + -5X + 5X Combine like terms: -5X + 5X = 0 -94 + 34X = -2 + 0 -94 + 34X = -2 Add '94' to each side of the equation. -94 + 94 + 34X = -2 + 94 Combine like terms: -94 + 94 = 0 0 + 34X = -2 + 94 34X = -2 + 94 Combine like terms: -2 + 94 = 92 34X = 92 Divide each side by '34'. X = 2.705882353 Simplifying X = 2.705882353
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