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Simplifying 7x + 4(x + -5) = 3(x + 2) + -5 Reorder the terms: 7x + 4(-5 + x) = 3(x + 2) + -5 7x + (-5 * 4 + x * 4) = 3(x + 2) + -5 7x + (-20 + 4x) = 3(x + 2) + -5 Reorder the terms: -20 + 7x + 4x = 3(x + 2) + -5 Combine like terms: 7x + 4x = 11x -20 + 11x = 3(x + 2) + -5 Reorder the terms: -20 + 11x = 3(2 + x) + -5 -20 + 11x = (2 * 3 + x * 3) + -5 -20 + 11x = (6 + 3x) + -5 Reorder the terms: -20 + 11x = 6 + -5 + 3x Combine like terms: 6 + -5 = 1 -20 + 11x = 1 + 3x Solving -20 + 11x = 1 + 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. -20 + 11x + -3x = 1 + 3x + -3x Combine like terms: 11x + -3x = 8x -20 + 8x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 8x = 1 + 0 -20 + 8x = 1 Add '20' to each side of the equation. -20 + 20 + 8x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 1 + 20 8x = 1 + 20 Combine like terms: 1 + 20 = 21 8x = 21 Divide each side by '8'. x = 2.625 Simplifying x = 2.625
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