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Simplifying 3.5x + 8 = 2(x + 7) Reorder the terms: 8 + 3.5x = 2(x + 7) Reorder the terms: 8 + 3.5x = 2(7 + x) 8 + 3.5x = (7 * 2 + x * 2) 8 + 3.5x = (14 + 2x) Solving 8 + 3.5x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 3.5x + -2x = 14 + 2x + -2x Combine like terms: 3.5x + -2x = 1.5x 8 + 1.5x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 1.5x = 14 + 0 8 + 1.5x = 14 Add '-8' to each side of the equation. 8 + -8 + 1.5x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 1.5x = 14 + -8 1.5x = 14 + -8 Combine like terms: 14 + -8 = 6 1.5x = 6 Divide each side by '1.5'. x = 4 Simplifying x = 4
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