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Simplifying 8(4 + 2x) = 7(12 + -1x) (4 * 8 + 2x * 8) = 7(12 + -1x) (32 + 16x) = 7(12 + -1x) 32 + 16x = (12 * 7 + -1x * 7) 32 + 16x = (84 + -7x) Solving 32 + 16x = 84 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 32 + 16x + 7x = 84 + -7x + 7x Combine like terms: 16x + 7x = 23x 32 + 23x = 84 + -7x + 7x Combine like terms: -7x + 7x = 0 32 + 23x = 84 + 0 32 + 23x = 84 Add '-32' to each side of the equation. 32 + -32 + 23x = 84 + -32 Combine like terms: 32 + -32 = 0 0 + 23x = 84 + -32 23x = 84 + -32 Combine like terms: 84 + -32 = 52 23x = 52 Divide each side by '23'. x = 2.260869565 Simplifying x = 2.260869565
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