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Simplifying 4(6x + 8) = 4(2x + 10) Reorder the terms: 4(8 + 6x) = 4(2x + 10) (8 * 4 + 6x * 4) = 4(2x + 10) (32 + 24x) = 4(2x + 10) Reorder the terms: 32 + 24x = 4(10 + 2x) 32 + 24x = (10 * 4 + 2x * 4) 32 + 24x = (40 + 8x) Solving 32 + 24x = 40 + 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. 32 + 24x + -8x = 40 + 8x + -8x Combine like terms: 24x + -8x = 16x 32 + 16x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + 16x = 40 + 0 32 + 16x = 40 Add '-32' to each side of the equation. 32 + -32 + 16x = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 16x = 40 + -32 16x = 40 + -32 Combine like terms: 40 + -32 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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