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Simplifying 4(x + -5) + 7x = 20 + 3x Reorder the terms: 4(-5 + x) + 7x = 20 + 3x (-5 * 4 + x * 4) + 7x = 20 + 3x (-20 + 4x) + 7x = 20 + 3x Combine like terms: 4x + 7x = 11x -20 + 11x = 20 + 3x Solving -20 + 11x = 20 + 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 = 20 + 3x + -3x Combine like terms: 11x + -3x = 8x -20 + 8x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 8x = 20 + 0 -20 + 8x = 20 Add '20' to each side of the equation. -20 + 20 + 8x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 20 + 20 8x = 20 + 20 Combine like terms: 20 + 20 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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