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Simplifying 4(x + -2) + 3(x + 1) = 17 Reorder the terms: 4(-2 + x) + 3(x + 1) = 17 (-2 * 4 + x * 4) + 3(x + 1) = 17 (-8 + 4x) + 3(x + 1) = 17 Reorder the terms: -8 + 4x + 3(1 + x) = 17 -8 + 4x + (1 * 3 + x * 3) = 17 -8 + 4x + (3 + 3x) = 17 Reorder the terms: -8 + 3 + 4x + 3x = 17 Combine like terms: -8 + 3 = -5 -5 + 4x + 3x = 17 Combine like terms: 4x + 3x = 7x -5 + 7x = 17 Solving -5 + 7x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 17 + 5 7x = 17 + 5 Combine like terms: 17 + 5 = 22 7x = 22 Divide each side by '7'. x = 3.142857143 Simplifying x = 3.142857143
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