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Simplifying 7(6x + -3) = 6(5x + -4) Reorder the terms: 7(-3 + 6x) = 6(5x + -4) (-3 * 7 + 6x * 7) = 6(5x + -4) (-21 + 42x) = 6(5x + -4) Reorder the terms: -21 + 42x = 6(-4 + 5x) -21 + 42x = (-4 * 6 + 5x * 6) -21 + 42x = (-24 + 30x) Solving -21 + 42x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -21 + 42x + -30x = -24 + 30x + -30x Combine like terms: 42x + -30x = 12x -21 + 12x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 -21 + 12x = -24 + 0 -21 + 12x = -24 Add '21' to each side of the equation. -21 + 21 + 12x = -24 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = -24 + 21 12x = -24 + 21 Combine like terms: -24 + 21 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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