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Simplifying 4(3x + -5) = 3(2x + 1) + 1 Reorder the terms: 4(-5 + 3x) = 3(2x + 1) + 1 (-5 * 4 + 3x * 4) = 3(2x + 1) + 1 (-20 + 12x) = 3(2x + 1) + 1 Reorder the terms: -20 + 12x = 3(1 + 2x) + 1 -20 + 12x = (1 * 3 + 2x * 3) + 1 -20 + 12x = (3 + 6x) + 1 Reorder the terms: -20 + 12x = 3 + 1 + 6x Combine like terms: 3 + 1 = 4 -20 + 12x = 4 + 6x Solving -20 + 12x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 12x + -6x = 4 + 6x + -6x Combine like terms: 12x + -6x = 6x -20 + 6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 6x = 4 + 0 -20 + 6x = 4 Add '20' to each side of the equation. -20 + 20 + 6x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 4 + 20 6x = 4 + 20 Combine like terms: 4 + 20 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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