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Simplifying 8(2x + 3) = 6(3x + 2) Reorder the terms: 8(3 + 2x) = 6(3x + 2) (3 * 8 + 2x * 8) = 6(3x + 2) (24 + 16x) = 6(3x + 2) Reorder the terms: 24 + 16x = 6(2 + 3x) 24 + 16x = (2 * 6 + 3x * 6) 24 + 16x = (12 + 18x) Solving 24 + 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. 24 + 16x + -18x = 12 + 18x + -18x Combine like terms: 16x + -18x = -2x 24 + -2x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + -2x = 12 + 0 24 + -2x = 12 Add '-24' to each side of the equation. 24 + -24 + -2x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 12 + -24 -2x = 12 + -24 Combine like terms: 12 + -24 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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