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Simplifying 4(7x + 13) + -2(6 + -14x) = 100 Reorder the terms: 4(13 + 7x) + -2(6 + -14x) = 100 (13 * 4 + 7x * 4) + -2(6 + -14x) = 100 (52 + 28x) + -2(6 + -14x) = 100 52 + 28x + (6 * -2 + -14x * -2) = 100 52 + 28x + (-12 + 28x) = 100 Reorder the terms: 52 + -12 + 28x + 28x = 100 Combine like terms: 52 + -12 = 40 40 + 28x + 28x = 100 Combine like terms: 28x + 28x = 56x 40 + 56x = 100 Solving 40 + 56x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 56x = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 56x = 100 + -40 56x = 100 + -40 Combine like terms: 100 + -40 = 60 56x = 60 Divide each side by '56'. x = 1.071428571 Simplifying x = 1.071428571
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