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Simplifying 16(x + 2) = 64(3x + -1) Reorder the terms: 16(2 + x) = 64(3x + -1) (2 * 16 + x * 16) = 64(3x + -1) (32 + 16x) = 64(3x + -1) Reorder the terms: 32 + 16x = 64(-1 + 3x) 32 + 16x = (-1 * 64 + 3x * 64) 32 + 16x = (-64 + 192x) Solving 32 + 16x = -64 + 192x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-192x' to each side of the equation. 32 + 16x + -192x = -64 + 192x + -192x Combine like terms: 16x + -192x = -176x 32 + -176x = -64 + 192x + -192x Combine like terms: 192x + -192x = 0 32 + -176x = -64 + 0 32 + -176x = -64 Add '-32' to each side of the equation. 32 + -32 + -176x = -64 + -32 Combine like terms: 32 + -32 = 0 0 + -176x = -64 + -32 -176x = -64 + -32 Combine like terms: -64 + -32 = -96 -176x = -96 Divide each side by '-176'. x = 0.5454545455 Simplifying x = 0.5454545455
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