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Simplifying 16x + 42 = 2(4x + -16) Reorder the terms: 42 + 16x = 2(4x + -16) Reorder the terms: 42 + 16x = 2(-16 + 4x) 42 + 16x = (-16 * 2 + 4x * 2) 42 + 16x = (-32 + 8x) Solving 42 + 16x = -32 + 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. 42 + 16x + -8x = -32 + 8x + -8x Combine like terms: 16x + -8x = 8x 42 + 8x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + 8x = -32 + 0 42 + 8x = -32 Add '-42' to each side of the equation. 42 + -42 + 8x = -32 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = -32 + -42 8x = -32 + -42 Combine like terms: -32 + -42 = -74 8x = -74 Divide each side by '8'. x = -9.25 Simplifying x = -9.25
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