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Simplifying 2(x + 4) + 3(x + -5) = 3x + 4 Reorder the terms: 2(4 + x) + 3(x + -5) = 3x + 4 (4 * 2 + x * 2) + 3(x + -5) = 3x + 4 (8 + 2x) + 3(x + -5) = 3x + 4 Reorder the terms: 8 + 2x + 3(-5 + x) = 3x + 4 8 + 2x + (-5 * 3 + x * 3) = 3x + 4 8 + 2x + (-15 + 3x) = 3x + 4 Reorder the terms: 8 + -15 + 2x + 3x = 3x + 4 Combine like terms: 8 + -15 = -7 -7 + 2x + 3x = 3x + 4 Combine like terms: 2x + 3x = 5x -7 + 5x = 3x + 4 Reorder the terms: -7 + 5x = 4 + 3x Solving -7 + 5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = 4 + 0 -7 + 2x = 4 Add '7' to each side of the equation. -7 + 7 + 2x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 4 + 7 2x = 4 + 7 Combine like terms: 4 + 7 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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