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Simplifying 2(6x + -3) = 7(-2x + -3) Reorder the terms: 2(-3 + 6x) = 7(-2x + -3) (-3 * 2 + 6x * 2) = 7(-2x + -3) (-6 + 12x) = 7(-2x + -3) Reorder the terms: -6 + 12x = 7(-3 + -2x) -6 + 12x = (-3 * 7 + -2x * 7) -6 + 12x = (-21 + -14x) Solving -6 + 12x = -21 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -6 + 12x + 14x = -21 + -14x + 14x Combine like terms: 12x + 14x = 26x -6 + 26x = -21 + -14x + 14x Combine like terms: -14x + 14x = 0 -6 + 26x = -21 + 0 -6 + 26x = -21 Add '6' to each side of the equation. -6 + 6 + 26x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 26x = -21 + 6 26x = -21 + 6 Combine like terms: -21 + 6 = -15 26x = -15 Divide each side by '26'. x = -0.5769230769 Simplifying x = -0.5769230769
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