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Simplifying 7(6x + -3) = 4(3x + -5) Reorder the terms: 7(-3 + 6x) = 4(3x + -5) (-3 * 7 + 6x * 7) = 4(3x + -5) (-21 + 42x) = 4(3x + -5) Reorder the terms: -21 + 42x = 4(-5 + 3x) -21 + 42x = (-5 * 4 + 3x * 4) -21 + 42x = (-20 + 12x) Solving -21 + 42x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -21 + 42x + -12x = -20 + 12x + -12x Combine like terms: 42x + -12x = 30x -21 + 30x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + 30x = -20 + 0 -21 + 30x = -20 Add '21' to each side of the equation. -21 + 21 + 30x = -20 + 21 Combine like terms: -21 + 21 = 0 0 + 30x = -20 + 21 30x = -20 + 21 Combine like terms: -20 + 21 = 1 30x = 1 Divide each side by '30'. x = 0.03333333333 Simplifying x = 0.03333333333
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