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Simplifying 8(2x + 4) = 3(6x + 4) Reorder the terms: 8(4 + 2x) = 3(6x + 4) (4 * 8 + 2x * 8) = 3(6x + 4) (32 + 16x) = 3(6x + 4) Reorder the terms: 32 + 16x = 3(4 + 6x) 32 + 16x = (4 * 3 + 6x * 3) 32 + 16x = (12 + 18x) Solving 32 + 16x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 32 + 16x + -18x = 12 + 18x + -18x Combine like terms: 16x + -18x = -2x 32 + -2x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 32 + -2x = 12 + 0 32 + -2x = 12 Add '-32' to each side of the equation. 32 + -32 + -2x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 12 + -32 -2x = 12 + -32 Combine like terms: 12 + -32 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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