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Simplifying 4(x + 2) + -1(3x + 5) = 10 Reorder the terms: 4(2 + x) + -1(3x + 5) = 10 (2 * 4 + x * 4) + -1(3x + 5) = 10 (8 + 4x) + -1(3x + 5) = 10 Reorder the terms: 8 + 4x + -1(5 + 3x) = 10 8 + 4x + (5 * -1 + 3x * -1) = 10 8 + 4x + (-5 + -3x) = 10 Reorder the terms: 8 + -5 + 4x + -3x = 10 Combine like terms: 8 + -5 = 3 3 + 4x + -3x = 10 Combine like terms: 4x + -3x = 1x 3 + 1x = 10 Solving 3 + 1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 10 + -3 1x = 10 + -3 Combine like terms: 10 + -3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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