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Simplifying 3(2x + -4) = 2 + -5(7 + -1x) Reorder the terms: 3(-4 + 2x) = 2 + -5(7 + -1x) (-4 * 3 + 2x * 3) = 2 + -5(7 + -1x) (-12 + 6x) = 2 + -5(7 + -1x) -12 + 6x = 2 + (7 * -5 + -1x * -5) -12 + 6x = 2 + (-35 + 5x) Combine like terms: 2 + -35 = -33 -12 + 6x = -33 + 5x Solving -12 + 6x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = -33 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -33 + 0 -12 + 1x = -33 Add '12' to each side of the equation. -12 + 12 + 1x = -33 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -33 + 12 1x = -33 + 12 Combine like terms: -33 + 12 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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