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Simplifying 24(x + 6) = 8(4x + 18) + 8x Reorder the terms: 24(6 + x) = 8(4x + 18) + 8x (6 * 24 + x * 24) = 8(4x + 18) + 8x (144 + 24x) = 8(4x + 18) + 8x Reorder the terms: 144 + 24x = 8(18 + 4x) + 8x 144 + 24x = (18 * 8 + 4x * 8) + 8x 144 + 24x = (144 + 32x) + 8x Combine like terms: 32x + 8x = 40x 144 + 24x = 144 + 40x Add '-144' to each side of the equation. 144 + -144 + 24x = 144 + -144 + 40x Combine like terms: 144 + -144 = 0 0 + 24x = 144 + -144 + 40x 24x = 144 + -144 + 40x Combine like terms: 144 + -144 = 0 24x = 0 + 40x 24x = 40x Solving 24x = 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 24x + -40x = 40x + -40x Combine like terms: 24x + -40x = -16x -16x = 40x + -40x Combine like terms: 40x + -40x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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