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Simplifying 5(x + 1) = 7(4d + -7) Reorder the terms: 5(1 + x) = 7(4d + -7) (1 * 5 + x * 5) = 7(4d + -7) (5 + 5x) = 7(4d + -7) Reorder the terms: 5 + 5x = 7(-7 + 4d) 5 + 5x = (-7 * 7 + 4d * 7) 5 + 5x = (-49 + 28d) Solving 5 + 5x = -49 + 28d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5x = -49 + -5 + 28d Combine like terms: 5 + -5 = 0 0 + 5x = -49 + -5 + 28d 5x = -49 + -5 + 28d Combine like terms: -49 + -5 = -54 5x = -54 + 28d Divide each side by '5'. x = -10.8 + 5.6d Simplifying x = -10.8 + 5.6d
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