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Simplifying 7(2x + -4) = -6(x + -5) + 2 Reorder the terms: 7(-4 + 2x) = -6(x + -5) + 2 (-4 * 7 + 2x * 7) = -6(x + -5) + 2 (-28 + 14x) = -6(x + -5) + 2 Reorder the terms: -28 + 14x = -6(-5 + x) + 2 -28 + 14x = (-5 * -6 + x * -6) + 2 -28 + 14x = (30 + -6x) + 2 Reorder the terms: -28 + 14x = 30 + 2 + -6x Combine like terms: 30 + 2 = 32 -28 + 14x = 32 + -6x Solving -28 + 14x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -28 + 14x + 6x = 32 + -6x + 6x Combine like terms: 14x + 6x = 20x -28 + 20x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + 20x = 32 + 0 -28 + 20x = 32 Add '28' to each side of the equation. -28 + 28 + 20x = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 20x = 32 + 28 20x = 32 + 28 Combine like terms: 32 + 28 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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