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Simplifying 6(2x + -6) = -7(-2x + 4) Reorder the terms: 6(-6 + 2x) = -7(-2x + 4) (-6 * 6 + 2x * 6) = -7(-2x + 4) (-36 + 12x) = -7(-2x + 4) Reorder the terms: -36 + 12x = -7(4 + -2x) -36 + 12x = (4 * -7 + -2x * -7) -36 + 12x = (-28 + 14x) Solving -36 + 12x = -28 + 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. -36 + 12x + -14x = -28 + 14x + -14x Combine like terms: 12x + -14x = -2x -36 + -2x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 -36 + -2x = -28 + 0 -36 + -2x = -28 Add '36' to each side of the equation. -36 + 36 + -2x = -28 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -28 + 36 -2x = -28 + 36 Combine like terms: -28 + 36 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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