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Simplifying 5(6x + -6) + -8x = -2 + -5(8 + -4x) Reorder the terms: 5(-6 + 6x) + -8x = -2 + -5(8 + -4x) (-6 * 5 + 6x * 5) + -8x = -2 + -5(8 + -4x) (-30 + 30x) + -8x = -2 + -5(8 + -4x) Combine like terms: 30x + -8x = 22x -30 + 22x = -2 + -5(8 + -4x) -30 + 22x = -2 + (8 * -5 + -4x * -5) -30 + 22x = -2 + (-40 + 20x) Combine like terms: -2 + -40 = -42 -30 + 22x = -42 + 20x Solving -30 + 22x = -42 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -30 + 22x + -20x = -42 + 20x + -20x Combine like terms: 22x + -20x = 2x -30 + 2x = -42 + 20x + -20x Combine like terms: 20x + -20x = 0 -30 + 2x = -42 + 0 -30 + 2x = -42 Add '30' to each side of the equation. -30 + 30 + 2x = -42 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -42 + 30 2x = -42 + 30 Combine like terms: -42 + 30 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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