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Simplifying 3.5(x + 4) = 1.4(16 + x) Reorder the terms: 3.5(4 + x) = 1.4(16 + x) (4 * 3.5 + x * 3.5) = 1.4(16 + x) (14 + 3.5x) = 1.4(16 + x) 14 + 3.5x = (16 * 1.4 + x * 1.4) 14 + 3.5x = (22.4 + 1.4x) Solving 14 + 3.5x = 22.4 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 14 + 3.5x + -1.4x = 22.4 + 1.4x + -1.4x Combine like terms: 3.5x + -1.4x = 2.1x 14 + 2.1x = 22.4 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 14 + 2.1x = 22.4 + 0.0 14 + 2.1x = 22.4 Add '-14' to each side of the equation. 14 + -14 + 2.1x = 22.4 + -14 Combine like terms: 14 + -14 = 0 0 + 2.1x = 22.4 + -14 2.1x = 22.4 + -14 Combine like terms: 22.4 + -14 = 8.4 2.1x = 8.4 Divide each side by '2.1'. x = 4 Simplifying x = 4
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