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Simplifying 7x + -2 = -6(2x + -24) Reorder the terms: -2 + 7x = -6(2x + -24) Reorder the terms: -2 + 7x = -6(-24 + 2x) -2 + 7x = (-24 * -6 + 2x * -6) -2 + 7x = (144 + -12x) Solving -2 + 7x = 144 + -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. -2 + 7x + 12x = 144 + -12x + 12x Combine like terms: 7x + 12x = 19x -2 + 19x = 144 + -12x + 12x Combine like terms: -12x + 12x = 0 -2 + 19x = 144 + 0 -2 + 19x = 144 Add '2' to each side of the equation. -2 + 2 + 19x = 144 + 2 Combine like terms: -2 + 2 = 0 0 + 19x = 144 + 2 19x = 144 + 2 Combine like terms: 144 + 2 = 146 19x = 146 Divide each side by '19'. x = 7.684210526 Simplifying x = 7.684210526
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