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Simplifying 9(x + 5) = 3(d + -3) + 6x Reorder the terms: 9(5 + x) = 3(d + -3) + 6x (5 * 9 + x * 9) = 3(d + -3) + 6x (45 + 9x) = 3(d + -3) + 6x Reorder the terms: 45 + 9x = 3(-3 + d) + 6x 45 + 9x = (-3 * 3 + d * 3) + 6x 45 + 9x = (-9 + 3d) + 6x Solving 45 + 9x = -9 + 3d + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 9x + -6x = -9 + 3d + 6x + -6x Combine like terms: 9x + -6x = 3x 45 + 3x = -9 + 3d + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 3x = -9 + 3d + 0 45 + 3x = -9 + 3d Add '-45' to each side of the equation. 45 + -45 + 3x = -9 + -45 + 3d Combine like terms: 45 + -45 = 0 0 + 3x = -9 + -45 + 3d 3x = -9 + -45 + 3d Combine like terms: -9 + -45 = -54 3x = -54 + 3d Divide each side by '3'. x = -18 + d Simplifying x = -18 + d
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