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Simplifying 4(x + 4) = 2(17 + -2x) Reorder the terms: 4(4 + x) = 2(17 + -2x) (4 * 4 + x * 4) = 2(17 + -2x) (16 + 4x) = 2(17 + -2x) 16 + 4x = (17 * 2 + -2x * 2) 16 + 4x = (34 + -4x) Solving 16 + 4x = 34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 16 + 4x + 4x = 34 + -4x + 4x Combine like terms: 4x + 4x = 8x 16 + 8x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 8x = 34 + 0 16 + 8x = 34 Add '-16' to each side of the equation. 16 + -16 + 8x = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 34 + -16 8x = 34 + -16 Combine like terms: 34 + -16 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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