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Simplifying 4(2x + -5) = 3(x + 1) + 7 Reorder the terms: 4(-5 + 2x) = 3(x + 1) + 7 (-5 * 4 + 2x * 4) = 3(x + 1) + 7 (-20 + 8x) = 3(x + 1) + 7 Reorder the terms: -20 + 8x = 3(1 + x) + 7 -20 + 8x = (1 * 3 + x * 3) + 7 -20 + 8x = (3 + 3x) + 7 Reorder the terms: -20 + 8x = 3 + 7 + 3x Combine like terms: 3 + 7 = 10 -20 + 8x = 10 + 3x Solving -20 + 8x = 10 + 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 + 8x + -3x = 10 + 3x + -3x Combine like terms: 8x + -3x = 5x -20 + 5x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 5x = 10 + 0 -20 + 5x = 10 Add '20' to each side of the equation. -20 + 20 + 5x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 10 + 20 5x = 10 + 20 Combine like terms: 10 + 20 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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