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Simplifying 10(d + 3) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: 10(3 + d) + -1(-9x + -4) = x + -5 + 3 (3 * 10 + d * 10) + -1(-9x + -4) = x + -5 + 3 (30 + 10d) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: 30 + 10d + -1(-4 + -9x) = x + -5 + 3 30 + 10d + (-4 * -1 + -9x * -1) = x + -5 + 3 30 + 10d + (4 + 9x) = x + -5 + 3 Reorder the terms: 30 + 4 + 10d + 9x = x + -5 + 3 Combine like terms: 30 + 4 = 34 34 + 10d + 9x = x + -5 + 3 Reorder the terms: 34 + 10d + 9x = -5 + 3 + x Combine like terms: -5 + 3 = -2 34 + 10d + 9x = -2 + x Solving 34 + 10d + 9x = -2 + x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 10d + -34 + 9x = -2 + -34 + x Reorder the terms: 34 + -34 + 10d + 9x = -2 + -34 + x Combine like terms: 34 + -34 = 0 0 + 10d + 9x = -2 + -34 + x 10d + 9x = -2 + -34 + x Combine like terms: -2 + -34 = -36 10d + 9x = -36 + x Add '-9x' to each side of the equation. 10d + 9x + -9x = -36 + x + -9x Combine like terms: 9x + -9x = 0 10d + 0 = -36 + x + -9x 10d = -36 + x + -9x Combine like terms: x + -9x = -8x 10d = -36 + -8x Divide each side by '10'. d = -3.6 + -0.8x Simplifying d = -3.6 + -0.8x
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