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Simplifying 3(2x + 8) * 8 = 2(4x + 8) Reorder the terms: 3(8 + 2x) * 8 = 2(4x + 8) Reorder the terms for easier multiplication: 3 * 8(8 + 2x) = 2(4x + 8) Multiply 3 * 8 24(8 + 2x) = 2(4x + 8) (8 * 24 + 2x * 24) = 2(4x + 8) (192 + 48x) = 2(4x + 8) Reorder the terms: 192 + 48x = 2(8 + 4x) 192 + 48x = (8 * 2 + 4x * 2) 192 + 48x = (16 + 8x) Solving 192 + 48x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 192 + 48x + -8x = 16 + 8x + -8x Combine like terms: 48x + -8x = 40x 192 + 40x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 192 + 40x = 16 + 0 192 + 40x = 16 Add '-192' to each side of the equation. 192 + -192 + 40x = 16 + -192 Combine like terms: 192 + -192 = 0 0 + 40x = 16 + -192 40x = 16 + -192 Combine like terms: 16 + -192 = -176 40x = -176 Divide each side by '40'. x = -4.4 Simplifying x = -4.4
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