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Simplifying -5x + 2(7x + -6) = -4(2 + -2x) Reorder the terms: -5x + 2(-6 + 7x) = -4(2 + -2x) -5x + (-6 * 2 + 7x * 2) = -4(2 + -2x) -5x + (-12 + 14x) = -4(2 + -2x) Reorder the terms: -12 + -5x + 14x = -4(2 + -2x) Combine like terms: -5x + 14x = 9x -12 + 9x = -4(2 + -2x) -12 + 9x = (2 * -4 + -2x * -4) -12 + 9x = (-8 + 8x) Solving -12 + 9x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 9x + -8x = -8 + 8x + -8x Combine like terms: 9x + -8x = 1x -12 + 1x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 1x = -8 + 0 -12 + 1x = -8 Add '12' to each side of the equation. -12 + 12 + 1x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -8 + 12 1x = -8 + 12 Combine like terms: -8 + 12 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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