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Simplifying 8x + 4(4x + -3) = 4(6d + 4) + -4 Reorder the terms: 8x + 4(-3 + 4x) = 4(6d + 4) + -4 8x + (-3 * 4 + 4x * 4) = 4(6d + 4) + -4 8x + (-12 + 16x) = 4(6d + 4) + -4 Reorder the terms: -12 + 8x + 16x = 4(6d + 4) + -4 Combine like terms: 8x + 16x = 24x -12 + 24x = 4(6d + 4) + -4 Reorder the terms: -12 + 24x = 4(4 + 6d) + -4 -12 + 24x = (4 * 4 + 6d * 4) + -4 -12 + 24x = (16 + 24d) + -4 Reorder the terms: -12 + 24x = 16 + -4 + 24d Combine like terms: 16 + -4 = 12 -12 + 24x = 12 + 24d Solving -12 + 24x = 12 + 24d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 24x = 12 + 12 + 24d Combine like terms: -12 + 12 = 0 0 + 24x = 12 + 12 + 24d 24x = 12 + 12 + 24d Combine like terms: 12 + 12 = 24 24x = 24 + 24d Divide each side by '24'. x = 1 + d Simplifying x = 1 + d
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