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Simplifying 4(3x + -5) = 6x + 7 + -3x Reorder the terms: 4(-5 + 3x) = 6x + 7 + -3x (-5 * 4 + 3x * 4) = 6x + 7 + -3x (-20 + 12x) = 6x + 7 + -3x Reorder the terms: -20 + 12x = 7 + 6x + -3x Combine like terms: 6x + -3x = 3x -20 + 12x = 7 + 3x Solving -20 + 12x = 7 + 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 + 12x + -3x = 7 + 3x + -3x Combine like terms: 12x + -3x = 9x -20 + 9x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 9x = 7 + 0 -20 + 9x = 7 Add '20' to each side of the equation. -20 + 20 + 9x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 7 + 20 9x = 7 + 20 Combine like terms: 7 + 20 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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