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Simplifying 7(x + -2) + 3.5x = 5(x + 1) + 3 Reorder the terms: 7(-2 + x) + 3.5x = 5(x + 1) + 3 (-2 * 7 + x * 7) + 3.5x = 5(x + 1) + 3 (-14 + 7x) + 3.5x = 5(x + 1) + 3 Combine like terms: 7x + 3.5x = 10.5x -14 + 10.5x = 5(x + 1) + 3 Reorder the terms: -14 + 10.5x = 5(1 + x) + 3 -14 + 10.5x = (1 * 5 + x * 5) + 3 -14 + 10.5x = (5 + 5x) + 3 Reorder the terms: -14 + 10.5x = 5 + 3 + 5x Combine like terms: 5 + 3 = 8 -14 + 10.5x = 8 + 5x Solving -14 + 10.5x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 10.5x + -5x = 8 + 5x + -5x Combine like terms: 10.5x + -5x = 5.5x -14 + 5.5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 5.5x = 8 + 0 -14 + 5.5x = 8 Add '14' to each side of the equation. -14 + 14 + 5.5x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 5.5x = 8 + 14 5.5x = 8 + 14 Combine like terms: 8 + 14 = 22 5.5x = 22 Divide each side by '5.5'. x = 4 Simplifying x = 4
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