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Simplifying 7(d + -2) = 5(x + -3) Reorder the terms: 7(-2 + d) = 5(x + -3) (-2 * 7 + d * 7) = 5(x + -3) (-14 + 7d) = 5(x + -3) Reorder the terms: -14 + 7d = 5(-3 + x) -14 + 7d = (-3 * 5 + x * 5) -14 + 7d = (-15 + 5x) Solving -14 + 7d = -15 + 5x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7d = -15 + 14 + 5x Combine like terms: -14 + 14 = 0 0 + 7d = -15 + 14 + 5x 7d = -15 + 14 + 5x Combine like terms: -15 + 14 = -1 7d = -1 + 5x Divide each side by '7'. d = -0.1428571429 + 0.7142857143x Simplifying d = -0.1428571429 + 0.7142857143x
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